2556671040 has 1008 divisors, whose sum is σ = 11762622144. Its totient is φ = 522547200.

The previous prime is 2556671003. The next prime is 2556671069. The reversal of 2556671040 is 401766552.

It is a happy number.

2556671040 is a `hidden beast` number, since 2 + 556 + 67 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2556670986 and 2556671004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41912610 + ... + 41912670.

It is an arithmetic number, because the mean of its divisors is an integer number (11669268).

Almost surely, 2^2556671040 is an apocalyptic number.

2556671040 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 2556671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881311072).

2556671040 is an abundant number, since it is smaller than the sum of its proper divisors (9205951104).

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

2556671040 is a wasteful number, since it uses less digits than its factorization.

2556671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2556671040 is about 50563.5346865703. The cubic root of 2556671040 is about 1367.3875374718.

The spelling of 2556671040 in words is "two billion, five hundred fifty-six million, six hundred seventy-one thousand, forty".