2512601641200 has 480 divisors, whose sum is σ = 9335982458880. Its totient is φ = 565790284800.

The previous prime is 2512601641169. The next prime is 2512601641241. The reversal of 2512601641200 is 21461062152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152947387 + ... + 152963813.

It is an arithmetic number, because the mean of its divisors is an integer number (19449963456).

Almost surely, 2^{2512601641200} is an apocalyptic number.

2512601641200 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 2512601641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667991229440).

2512601641200 is an abundant number, since it is smaller than the sum of its proper divisors (6823380817680).

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

2512601641200 is a wasteful number, since it uses less digits than its factorization.

2512601641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2512601641200 in words is "two trillion, five hundred twelve billion, six hundred one million, six hundred forty-one thousand, two hundred".