2521245013200 has 360 divisors, whose sum is σ = 9139814835840. Its totient is φ = 642396902400.

The previous prime is 2521245013187. The next prime is 2521245013277. The reversal of 2521245013200 is 23105421252.

2521245013200 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 450 + 1 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77898621 + ... + 77930979.

It is an arithmetic number, because the mean of its divisors is an integer number (25388374544).

Almost surely, 2^{2521245013200} is an apocalyptic number.

2521245013200 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 2521245013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569907417920).

2521245013200 is an abundant number, since it is smaller than the sum of its proper divisors (6618569822640).

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

2521245013200 is a wasteful number, since it uses less digits than its factorization.

2521245013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33347 (or 33333 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2521245013200 in words is "two trillion, five hundred twenty-one billion, two hundred forty-five million, thirteen thousand, two hundred".