2455252800 has 1008 divisors, whose sum is σ = 11159410752. Its totient is φ = 464486400.

The previous prime is 2455252799. The next prime is 2455252801. The reversal of 2455252800 is 82525542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2455252799) and next prime (2455252801).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455252801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33633564 + ... + 33633636.

It is an arithmetic number, because the mean of its divisors is an integer number (11070844).

Almost surely, 2^2455252800 is an apocalyptic number.

2455252800 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 2455252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579705376).

2455252800 is an abundant number, since it is smaller than the sum of its proper divisors (8704157952).

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

2455252800 is a wasteful number, since it uses less digits than its factorization.

2455252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 2455252800 is about 49550.5075655134. The cubic root of 2455252800 is about 1349.0625041216.

It can be divided in two parts, 2455 and 252800, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 2455252800 in words is "two billion, four hundred fifty-five million, two hundred fifty-two thousand, eight hundred".