2645764440 has 512 divisors, whose sum is σ = 9754214400. Its totient is φ = 566784000.

The previous prime is 2645764427. The next prime is 2645764441. The reversal of 2645764440 is 444675462.

2645764440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2645764392 and 2645764401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645764441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31876639 + ... + 31876721.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^2645764440 is an apocalyptic number.

2645764440 is a gapful number since it is divisible by the number (20) 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 2645764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2645764440 is an abundant number, since it is smaller than the sum of its proper divisors (7108449960).

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

2645764440 is a wasteful number, since it uses less digits than its factorization.

2645764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The square root of 2645764440 is about 51436.9948577869. The cubic root of 2645764440 is about 1383.0898420165.

The spelling of 2645764440 in words is "two billion, six hundred forty-five million, seven hundred sixty-four thousand, four hundred forty".