2645752824 has 192 divisors, whose sum is σ = 8709573600. Its totient is φ = 714470400.

The previous prime is 2645752807. The next prime is 2645752829. The reversal of 2645752824 is 4282575462.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2645752824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645752829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294154 + ... + 303014.

Almost surely, 2^2645752824 is an apocalyptic number.

2645752824 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 2645752824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354786800).

2645752824 is an abundant number, since it is smaller than the sum of its proper divisors (6063820776).

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

2645752824 is a wasteful number, since it uses less digits than its factorization.

2645752824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926 (or 8919 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2645752824 is about 51436.8819428239. The cubic root of 2645752824 is about 1383.0878179014.

The spelling of 2645752824 in words is "two billion, six hundred forty-five million, seven hundred fifty-two thousand, eight hundred twenty-four".