2052453362400 has 720 divisors, whose sum is σ = 8567227224864. Its totient is φ = 468416286720.

The previous prime is 2052453362339. The next prime is 2052453362441. The reversal of 2052453362400 is 42633542502.

2052453362400 is a `hidden beast` number, since 2 + 0 + 5 + 24 + 5 + 3 + 3 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 332485714 + ... + 332491886.

Almost surely, 2^{2052453362400} is an apocalyptic number.

2052453362400 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 2052453362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283613612432).

2052453362400 is an abundant number, since it is smaller than the sum of its proper divisors (6514773862464).

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

2052453362400 is a wasteful number, since it uses less digits than its factorization.

2052453362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2052453362400 in words is "two trillion, fifty-two billion, four hundred fifty-three million, three hundred sixty-two thousand, four hundred".