2652579360 has 384 divisors, whose sum is σ = 10352966400. Its totient is φ = 630374400.

The previous prime is 2652579353. The next prime is 2652579367. The reversal of 2652579360 is 639752562.

2652579360 is a `hidden beast` number, since 26 + 52 + 579 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2652579353) and next prime (2652579367).

It is a super-2 number, since 2×2652579360² = 14072354522196019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2652579367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1394410 + ... + 1396310.

It is an arithmetic number, because the mean of its divisors is an integer number (26960850).

Almost surely, 2^2652579360 is an apocalyptic number.

2652579360 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 2652579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176483200).

2652579360 is an abundant number, since it is smaller than the sum of its proper divisors (7700387040).

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

2652579360 is a wasteful number, since it uses less digits than its factorization.

2652579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2652579360 is about 51503.1975706363. The cubic root of 2652579360 is about 1384.2763378401.

The spelling of 2652579360 in words is "two billion, six hundred fifty-two million, five hundred seventy-nine thousand, three hundred sixty".