2657122680 has 192 divisors, whose sum is σ = 8364526560. Its totient is φ = 675168256.

The previous prime is 2657122639. The next prime is 2657122681. The reversal of 2657122680 is 862217562.

2657122680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657122681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11403844 + ... + 11404076.

Almost surely, 2^2657122680 is an apocalyptic number.

2657122680 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 2657122680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182263280).

2657122680 is an abundant number, since it is smaller than the sum of its proper divisors (5707403880).

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

2657122680 is a wasteful number, since it uses less digits than its factorization.

2657122680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2657122680 is about 51547.2858645341. The cubic root of 2657122680 is about 1385.0662134323.

The spelling of 2657122680 in words is "two billion, six hundred fifty-seven million, one hundred twenty-two thousand, six hundred eighty".