2455042867200 has 2700 divisors, whose sum is σ = 11716670772576. Its totient is φ = 493682688000.

The previous prime is 2455042867183. The next prime is 2455042867201. The reversal of 2455042867200 is 27682405542.

2455042867200 is a `hidden beast` number, since 2 + 4 + 550 + 4 + 28 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455042867201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 79194931185 + ... + 79194931215.

Almost surely, 2^{2455042867200} is an apocalyptic number.

2455042867200 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 2455042867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858335386288).

2455042867200 is an abundant number, since it is smaller than the sum of its proper divisors (9261627905376).

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

2455042867200 is an equidigital number, since it uses as much as digits as its factorization.

2455042867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2455042867200 in words is "two trillion, four hundred fifty-five billion, forty-two million, eight hundred sixty-seven thousand, two hundred".