2645196138000 has 240 divisors, whose sum is σ = 9949465287216. Its totient is φ = 651125145600.

The previous prime is 2645196137989. The next prime is 2645196138001. The reversal of 2645196138000 is 8316915462.

2645196138000 is a `hidden beast` number, since 26 + 4 + 5 + 1 + 9 + 613 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1560740495616 + 1084455642384 = 1249296^2 + 1041372^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2645196138001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5418129 + ... + 5886128.

Almost surely, 2^{2645196138000} is an apocalyptic number.

2645196138000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2645196138000 is an abundant number, since it is smaller than the sum of its proper divisors (7304269149216).

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

2645196138000 is a wasteful number, since it uses less digits than its factorization.

2645196138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304299 (or 11304280 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2645196138000 in words is "two trillion, six hundred forty-five billion, one hundred ninety-six million, one hundred thirty-eight thousand".