2652681000960 has 672 divisors, whose sum is σ = 10104788322720. Its totient is φ = 665739067392.

The previous prime is 2652681000923. The next prime is 2652681000961. The reversal of 2652681000960 is 690001862562.

2652681000960 is a `hidden beast` number, since 26 + 526 + 8 + 10 + 0 + 0 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652681000961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126893869 + ... + 126914771.

It is an arithmetic number, because the mean of its divisors is an integer number (15036887385).

Almost surely, 2^{2652681000960} is an apocalyptic number.

2652681000960 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 2652681000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052394161360).

2652681000960 is an abundant number, since it is smaller than the sum of its proper divisors (7452107321760).

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

2652681000960 is an equidigital number, since it uses as much as digits as its factorization.

2652681000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20965 (or 20930 counting only the distinct ones).

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

The spelling of 2652681000960 in words is "two trillion, six hundred fifty-two billion, six hundred eighty-one million, nine hundred sixty", and thus it is an aban number.