2645873664 has 176 divisors, whose sum is σ = 8259006336. Its totient is φ = 737280000.

The previous prime is 2645873651. The next prime is 2645873723. The reversal of 2645873664 is 4663785462.

It is a happy number.

Its product of digits (5806080) is a multiple of the sum of its prime factors (3072).

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, 880164 + ... + 883164.

Almost surely, 2^2645873664 is an apocalyptic number.

2645873664 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 2645873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129503168).

2645873664 is an abundant number, since it is smaller than the sum of its proper divisors (5613132672).

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

2645873664 is a wasteful number, since it uses less digits than its factorization.

2645873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3054 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The square root of 2645873664 is about 51438.0565729305. The cubic root of 2645873664 is about 1383.1088742634.

The spelling of 2645873664 in words is "two billion, six hundred forty-five million, eight hundred seventy-three thousand, six hundred sixty-four".