2681955360 has 960 divisors, whose sum is σ = 12013360128. Its totient is φ = 549421056.

The previous prime is 2681955307. The next prime is 2681955401. The reversal of 2681955360 is 635591862.

2681955360 is a `hidden beast` number, since 26 + 8 + 1 + 95 + 536 + 0 = 666.

2681955360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57062857 + ... + 57062903.

Almost surely, 2^2681955360 is an apocalyptic number.

2681955360 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 2681955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006680064).

2681955360 is an abundant number, since it is smaller than the sum of its proper divisors (9331404768).

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

2681955360 is a wasteful number, since it uses less digits than its factorization.

2681955360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2681955360 is about 51787.5985154747. The cubic root of 2681955360 is about 1389.3676470842.

The spelling of 2681955360 in words is "two billion, six hundred eighty-one million, nine hundred fifty-five thousand, three hundred sixty".