2455631360 has 320 divisors, whose sum is σ = 7391526912. Its totient is φ = 761757696.

The previous prime is 2455631333. The next prime is 2455631377. The reversal of 2455631360 is 631365542.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2455631360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19335617 + ... + 19335743.

Almost surely, 2^2455631360 is an apocalyptic number.

2455631360 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 2455631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695763456).

2455631360 is an abundant number, since it is smaller than the sum of its proper divisors (4935895552).

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

2455631360 is a wasteful number, since it uses less digits than its factorization.

2455631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2455631360 is about 49554.3273589704. The cubic root of 2455631360 is about 1349.1318350484.

The spelling of 2455631360 in words is "two billion, four hundred fifty-five million, six hundred thirty-one thousand, three hundred sixty".