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2425440 = 253531163
BaseRepresentation
bin1001010000001001100000
311120020002010
421100021200
51110103230
6123552520
726421153
oct11201140
94506063
102425440
1114072a6
1298b740
1366bc94
14471c9a
1532d9b0
hex250260

2425440 has 96 divisors (see below), whose sum is σ = 7934976. Its totient is φ = 622080.

The previous prime is 2425433. The next prime is 2425447. The reversal of 2425440 is 445242.

It is an interprime number because it is at equal distance from previous prime (2425433) and next prime (2425447).

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 (2425447) 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, 14799 + ... + 14961.

It is an arithmetic number, because the mean of its divisors is an integer number (82656).

22425440 is an apocalyptic number.

2425440 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 2425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967488).

2425440 is an abundant number, since it is smaller than the sum of its proper divisors (5509536).

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

2425440 is a wasteful number, since it uses less digits than its factorization.

2425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2425440 is about 1557.3824193177. The cubic root of 2425440 is about 134.3579942424.

The spelling of 2425440 in words is "two million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 163 186 240 248 310 326 372 465 480 489 496 620 652 744 815 930 978 992 1240 1304 1488 1630 1860 1956 2445 2480 2608 2976 3260 3720 3912 4890 4960 5053 5216 6520 7440 7824 9780 10106 13040 14880 15159 15648 19560 20212 25265 26080 30318 39120 40424 50530 60636 75795 78240 80848 101060 121272 151590 161696 202120 242544 303180 404240 485088 606360 808480 1212720 2425440