2553987240 has 256 divisors, whose sum is σ = 9771148800. Its totient is φ = 581271552.

The previous prime is 2553987203. The next prime is 2553987253. The reversal of 2553987240 is 427893552.

2553987240 is a `hidden beast` number, since 2 + 5 + 539 + 8 + 72 + 40 = 666.

It is a super-3 number, since 3×2553987240³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2214504 + ... + 2215656.

It is an arithmetic number, because the mean of its divisors is an integer number (38168550).

Almost surely, 2^2553987240 is an apocalyptic number.

2553987240 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 2553987240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885574400).

2553987240 is an abundant number, since it is smaller than the sum of its proper divisors (7217161560).

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

2553987240 is a wasteful number, since it uses less digits than its factorization.

2553987240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2553987240 is about 50536.9888299649. The cubic root of 2553987240 is about 1366.9089099315.

The spelling of 2553987240 in words is "two billion, five hundred fifty-three million, nine hundred eighty-seven thousand, two hundred forty".