2045067264 has 300 divisors, whose sum is σ = 6470565024. Its totient is φ = 642318336.

The previous prime is 2045067247. The next prime is 2045067301. The reversal of 2045067264 is 4627605402.

2045067264 is a `hidden beast` number, since 20 + 4 + 506 + 72 + 64 = 666.

It is a super-2 number, since 2×2045067264² = 8364600228568891392, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30523359 + ... + 30523425.

Almost surely, 2^2045067264 is an apocalyptic number.

2045067264 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 2045067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235282512).

2045067264 is an abundant number, since it is smaller than the sum of its proper divisors (4425497760).

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

2045067264 is an frugal number, since it uses more digits than its factorization.

2045067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2045067264 is about 45222.4199264038. The cubic root of 2045067264 is about 1269.3143764480.

The spelling of 2045067264 in words is "two billion, forty-five million, sixty-seven thousand, two hundred sixty-four".