2530246118400 has 5280 divisors, whose sum is σ = 13374241993728. Its totient is φ = 455462092800.

The previous prime is 2530246118359. The next prime is 2530246118431. The reversal of 2530246118400 is 48116420352.

It is a happy number.

2530246118400 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 246 + 1 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47740492774 + ... + 47740492826.

Almost surely, 2^{2530246118400} is an apocalyptic number.

2530246118400 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 2530246118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687120996864).

2530246118400 is an abundant number, since it is smaller than the sum of its proper divisors (10843995875328).

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

2530246118400 is a wasteful number, since it uses less digits than its factorization.

2530246118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2530246118400 in words is "two trillion, five hundred thirty billion, two hundred forty-six million, one hundred eighteen thousand, four hundred".