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2570677340 = 2257112372577
BaseRepresentation
bin1001100100111001…
…0110110001011100
320122011011221100212
42121032112301130
520231043133330
61103030311552
7120463253060
oct23116266134
96564157325
102570677340
1110aa097a30
125b8ab85b8
1331c77736a
141a55abaa0
15100a3c295
hex99396c5c

2570677340 has 96 divisors (see below), whose sum is σ = 7023227904. Its totient is φ = 766402560.

The previous prime is 2570677313. The next prime is 2570677357. The reversal of 2570677340 is 437760752.

2570677340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869 + ... + 71708.

It is an arithmetic number, because the mean of its divisors is an integer number (73158624).

Almost surely, 22570677340 is an apocalyptic number.

2570677340 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 2570677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511613952).

2570677340 is an abundant number, since it is smaller than the sum of its proper divisors (4452550564).

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

2570677340 is a wasteful number, since it uses less digits than its factorization.

2570677340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72627 (or 72625 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 41.

The square root of 2570677340 is about 50701.8475008554. The cubic root of 2570677340 is about 1369.8799937506.

The spelling of 2570677340 in words is "two billion, five hundred seventy million, six hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 17710 35420 72577 145154 290308 362885 508039 725770 798347 1016078 1451540 1596694 1669271 2032156 2540195 3193388 3338542 3991735 5080390 5588429 6677084 7983470 8346355 10160780 11176858 11684897 15966940 16692710 18361981 22353716 23369794 27942145 33385420 36723962 46739588 55884290 58424485 73447924 91809905 111768580 116848970 128533867 183619810 233697940 257067734 367239620 514135468 642669335 1285338670 2570677340