2652168960 has 576 divisors, whose sum is σ = 11341747200. Its totient is φ = 573308928.

The previous prime is 2652168949. The next prime is 2652168971. The reversal of 2652168960 is 698612562.

2652168960 is a `hidden beast` number, since 2 + 6 + 521 + 68 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2652168949) and next prime (2652168971).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596192 + ... + 4596768.

Almost surely, 2^2652168960 is an apocalyptic number.

2652168960 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 2652168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670873600).

2652168960 is an abundant number, since it is smaller than the sum of its proper divisors (8689578240).

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

2652168960 is a wasteful number, since it uses less digits than its factorization.

2652168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2652168960 is about 51499.2131978732. The cubic root of 2652168960 is about 1384.2049436443.

It can be divided in two parts, 26521 and 68960, that added together give a square (95481 = 309²).

The spelling of 2652168960 in words is "two billion, six hundred fifty-two million, one hundred sixty-eight thousand, nine hundred sixty".