2555153640 has 256 divisors, whose sum is σ = 9251020800. Its totient is φ = 623572992.

The previous prime is 2555153603. The next prime is 2555153647. The reversal of 2555153640 is 463515552.

2555153640 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 1 + 5 + 3 + 640 = 666.

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 = 2555153595 and 2555153604.

It is not an unprimeable number, because it can be changed into a prime (2555153647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782364 + ... + 1783796.

It is an arithmetic number, because the mean of its divisors is an integer number (36136800).

Almost surely, 2^2555153640 is an apocalyptic number.

2555153640 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 2555153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625510400).

2555153640 is an abundant number, since it is smaller than the sum of its proper divisors (6695867160).

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

2555153640 is a wasteful number, since it uses less digits than its factorization.

2555153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2555153640 is about 50548.5275749947. The cubic root of 2555153640 is about 1367.1169662960.

The spelling of 2555153640 in words is "two billion, five hundred fifty-five million, one hundred fifty-three thousand, six hundred forty".