2455734400 has 192 divisors, whose sum is σ = 7122847680. Its totient is φ = 818933760.

The previous prime is 2455734377. The next prime is 2455734427. The reversal of 2455734400 is 44375542.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827319 + ... + 830281.

It is an arithmetic number, because the mean of its divisors is an integer number (37098165).

Almost surely, 2^2455734400 is an apocalyptic number.

2455734400 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 2455734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561423840).

2455734400 is an abundant number, since it is smaller than the sum of its proper divisors (4667113280).

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

2455734400 is a wasteful number, since it uses less digits than its factorization.

2455734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 2455734400 is about 49555.3670150873. The cubic root of 2455734400 is about 1349.1507049546.

It can be divided in two parts, 245 and 5734400, that multiplied together give a cube (1404928000 = 1120³).

The spelling of 2455734400 in words is "two billion, four hundred fifty-five million, seven hundred thirty-four thousand, four hundred".