2652883954560 has 896 divisors, whose sum is σ = 11218095912960. Its totient is φ = 586790645760.

The previous prime is 2652883954519. The next prime is 2652883954601. The reversal of 2652883954560 is 654593882562.

2652883954560 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 8 + 83 + 9 + 545 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2652883954519) and next prime (2652883954601).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101230419 + ... + 101256621.

Almost surely, 2^{2652883954560} is an apocalyptic number.

2652883954560 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 2652883954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609047956480).

2652883954560 is an abundant number, since it is smaller than the sum of its proper divisors (8565211958400).

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

2652883954560 is an equidigital number, since it uses as much as digits as its factorization.

2652883954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26278 (or 26251 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 2652883954560 in words is "two trillion, six hundred fifty-two billion, eight hundred eighty-three million, nine hundred fifty-four thousand, five hundred sixty".