2556354240 has 672 divisors, whose sum is σ = 10498775040. Its totient is φ = 564019200.

The previous prime is 2556354217. The next prime is 2556354289. The reversal of 2556354240 is 424536552.

2556354240 is a `hidden beast` number, since 2 + 5 + 563 + 54 + 2 + 40 = 666.

2556354240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2556354195 and 2556354204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18659452 + ... + 18659588.

Almost surely, 2^2556354240 is an apocalyptic number.

2556354240 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 2556354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249387520).

2556354240 is an abundant number, since it is smaller than the sum of its proper divisors (7942420800).

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

2556354240 is a wasteful number, since it uses less digits than its factorization.

2556354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2556354240 is about 50560.4018971369. The cubic root of 2556354240 is about 1367.3310569601.

The spelling of 2556354240 in words is "two billion, five hundred fifty-six million, three hundred fifty-four thousand, two hundred forty".