2508284774400 has 288 divisors, whose sum is σ = 8779812743520. Its totient is φ = 629529640960.

The previous prime is 2508284774363. The next prime is 2508284774423. The reversal of 2508284774400 is 44774828052.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2130907 + ... + 3091493.

It is an arithmetic number, because the mean of its divisors is an integer number (30485460915).

Almost surely, 2^{2508284774400} is an apocalyptic number.

2508284774400 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 2508284774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389906371760).

2508284774400 is an abundant number, since it is smaller than the sum of its proper divisors (6271527969120).

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

2508284774400 is a wasteful number, since it uses less digits than its factorization.

2508284774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960639 (or 960614 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 2508284774400 in words is "two trillion, five hundred eight billion, two hundred eighty-four million, seven hundred seventy-four thousand, four hundred".