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2681023488 = 2103111317359
BaseRepresentation
bin1001111111001101…
…0010110000000000
320220211211002211020
42133303102300000
520442320222423
61122011345440
7123303216003
oct23763226000
96824732736
102681023488
1111564056a0
12629a52280
133395a1140
141b60d353a
1510a5874e3
hex9fcd2c00

2681023488 has 352 divisors, whose sum is σ = 8913784320. Its totient is φ = 703856640.

The previous prime is 2681023483. The next prime is 2681023493. The reversal of 2681023488 is 8843201862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2681023483) and next prime (2681023493).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×26810234882 = 14375773886415372288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2681023483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7467853 + ... + 7468211.

Almost surely, 22681023488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456892160).

2681023488 is an abundant number, since it is smaller than the sum of its proper divisors (6232760832).

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

2681023488 is a wasteful number, since it uses less digits than its factorization.

2681023488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2681023488 is about 51778.6006763412. The cubic root of 2681023488 is about 1389.2067119185.

The spelling of 2681023488 in words is "two billion, six hundred eighty-one million, twenty-three thousand, four hundred eighty-eight".