2555587440 has 240 divisors, whose sum is σ = 9851744448. Its totient is φ = 581566464.

The previous prime is 2555587429. The next prime is 2555587471. The reversal of 2555587440 is 447855552.

2555587440 is a `hidden beast` number, since 2 + 55 + 558 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1294294 + ... + 1296266.

Almost surely, 2^2555587440 is an apocalyptic number.

2555587440 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 2555587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925872224).

2555587440 is an abundant number, since it is smaller than the sum of its proper divisors (7296157008).

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

2555587440 is a wasteful number, since it uses less digits than its factorization.

2555587440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The square root of 2555587440 is about 50552.8183190611. The cubic root of 2555587440 is about 1367.1943291301.

The spelling of 2555587440 in words is "two billion, five hundred fifty-five million, five hundred eighty-seven thousand, four hundred forty".