2045597135400 has 576 divisors, whose sum is σ = 8462192968320. Its totient is φ = 431238297600.

The previous prime is 2045597135399. The next prime is 2045597135411. The reversal of 2045597135400 is 45317955402.

2045597135400 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 97 + 13 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 226203279 + ... + 226212321.

Almost surely, 2^{2045597135400} is an apocalyptic number.

2045597135400 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 2045597135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231096484160).

2045597135400 is an abundant number, since it is smaller than the sum of its proper divisors (6416595832920).

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

2045597135400 is a wasteful number, since it uses less digits than its factorization.

2045597135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2045597135400 in words is "two trillion, forty-five billion, five hundred ninety-seven million, one hundred thirty-five thousand, four hundred".