2620657680 has 160 divisors (see below), whose sum is σ = 8365714560. Its totient is φ = 678236160.

The previous prime is 2620657667. The next prime is 2620657709. The reversal of 2620657680 is 867560262.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2252779 + ... + 2253941.

It is an arithmetic number, because the mean of its divisors is an integer number (52285716).

Almost surely, 2^2620657680 is an apocalyptic number.

2620657680 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 2620657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182857280).

2620657680 is an abundant number, since it is smaller than the sum of its proper divisors (5745056880).

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

2620657680 is a wasteful number, since it uses less digits than its factorization.

2620657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2620657680 is about 51192.3595861726. The cubic root of 2620657680 is about 1378.7010251036.

It can be divided in two parts, 262065 and 7680, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 2620657680 in words is "two billion, six hundred twenty million, six hundred fifty-seven thousand, six hundred eighty".