2045237839200 has 288 divisors, whose sum is σ = 7786257897600. Its totient is φ = 516691560960.

The previous prime is 2045237839189. The next prime is 2045237839231. The reversal of 2045237839200 is 29387325402.

2045237839200 is a `hidden beast` number, since 2 + 0 + 4 + 523 + 78 + 39 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2081362 + ... + 2902161.

It is an arithmetic number, because the mean of its divisors is an integer number (27035617700).

Almost surely, 2^{2045237839200} is an apocalyptic number.

2045237839200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045237839200 is an abundant number, since it is smaller than the sum of its proper divisors (5741020058400).

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

2045237839200 is a wasteful number, since it uses less digits than its factorization.

2045237839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983571 (or 4983552 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2045237839200 in words is "two trillion, forty-five billion, two hundred thirty-seven million, eight hundred thirty-nine thousand, two hundred".