2452156621200 has 2880 divisors, whose sum is σ = 11131387545600. Its totient is φ = 507741696000.

The previous prime is 2452156621163. The next prime is 2452156621207. The reversal of 2452156621200 is 21266512542.

2452156621200 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 1 + 5 + 6 + 621 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2452156621207) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22917351547 + ... + 22917351653.

It is an arithmetic number, because the mean of its divisors is an integer number (3865065120).

Almost surely, 2^{2452156621200} is an apocalyptic number.

2452156621200 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 2452156621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565693772800).

2452156621200 is an abundant number, since it is smaller than the sum of its proper divisors (8679230924400).

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

2452156621200 is a wasteful number, since it uses less digits than its factorization.

2452156621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2452156621200 in words is "two trillion, four hundred fifty-two billion, one hundred fifty-six million, six hundred twenty-one thousand, two hundred".