2045412864 has 160 divisors (see below), whose sum is σ = 6605470080. Its totient is φ = 619776000.

The previous prime is 2045412857. The next prime is 2045412973. The reversal of 2045412864 is 4682145402.

2045412864 is a `hidden beast` number, since 20 + 454 + 128 + 64 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145339 + ... + 158789.

It is an arithmetic number, because the mean of its divisors is an integer number (41284188).

Almost surely, 2^2045412864 is an apocalyptic number.

2045412864 is a gapful number since it is divisible by the number (24) 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 2045412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302735040).

2045412864 is an abundant number, since it is smaller than the sum of its proper divisors (4560057216).

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

2045412864 is a wasteful number, since it uses less digits than its factorization.

2045412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2045412864 is about 45226.2408784988. The cubic root of 2045412864 is about 1269.3858737442.

The spelling of 2045412864 in words is "two billion, forty-five million, four hundred twelve thousand, eight hundred sixty-four".