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2056844640 = 253540910477
BaseRepresentation
bin111101010011000…
…1111010101100000
312022100022112102010
41322212033111200
513203023012030
6540033152520
7101653614414
oct17246172540
95270275363
102056844640
11966042904
124949bb740
1326a18b046
14157254d44
15c08906b0
hex7a98f560

2056844640 has 96 divisors (see below), whose sum is σ = 6495521760. Its totient is φ = 547098624.

The previous prime is 2056844623. The next prime is 2056844641. The reversal of 2056844640 is 464486502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056844641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191082 + ... + 201558.

It is an arithmetic number, because the mean of its divisors is an integer number (67661685).

Almost surely, 22056844640 is an apocalyptic number.

2056844640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247760880).

2056844640 is an abundant number, since it is smaller than the sum of its proper divisors (4438677120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2056844640 is a wasteful number, since it uses less digits than its factorization.

2056844640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2056844640 is about 45352.4491069666. The cubic root of 2056844640 is about 1271.7463399889.

The spelling of 2056844640 in words is "two billion, fifty-six million, eight hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 409 480 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 10477 12270 13088 16360 19632 20954 24540 31431 32720 39264 41908 49080 52385 62862 65440 83816 98160 104770 125724 157155 167632 196320 209540 251448 314310 335264 419080 502896 628620 838160 1005792 1257240 1676320 2514480 4285093 5028960 8570186 12855279 17140372 21425465 25710558 34280744 42850930 51421116 64276395 68561488 85701860 102842232 128552790 137122976 171403720 205684464 257105580 342807440 411368928 514211160 685614880 1028422320 2056844640