2405253525300 has 144 divisors (see below), whose sum is σ = 7735333032000. Its totient is φ = 641161353600.

The previous prime is 2405253525281. The next prime is 2405253525349. The reversal of 2405253525300 is 35253525042.

2405253525300 is a `hidden beast` number, since 2 + 4 + 0 + 52 + 53 + 525 + 30 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7122270 + ... + 7452330.

It is an arithmetic number, because the mean of its divisors is an integer number (53717590500).

Almost surely, 2^{2405253525300} is an apocalyptic number.

2405253525300 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 2405253525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867666516000).

2405253525300 is an abundant number, since it is smaller than the sum of its proper divisors (5330079506700).

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

2405253525300 is a wasteful number, since it uses less digits than its factorization.

2405253525300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332783 (or 332770 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 2405253525300 in words is "two trillion, four hundred five billion, two hundred fifty-three million, five hundred twenty-five thousand, three hundred".