2642135760 has 400 divisors, whose sum is σ = 10137422592. Its totient is φ = 632448000.

The previous prime is 2642135747. The next prime is 2642135777. The reversal of 2642135760 is 675312462.

2642135760 is a `hidden beast` number, since 2 + 64 + 21 + 3 + 576 + 0 = 666.

It is a super-3 number, since 3×2642135760³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7199097 + ... + 7199463.

Almost surely, 2^2642135760 is an apocalyptic number.

2642135760 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 2642135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068711296).

2642135760 is an abundant number, since it is smaller than the sum of its proper divisors (7495286832).

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

2642135760 is a wasteful number, since it uses less digits than its factorization.

2642135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2642135760 is about 51401.7096991919. The cubic root of 2642135760 is about 1382.4572477016.

The spelling of 2642135760 in words is "two billion, six hundred forty-two million, one hundred thirty-five thousand, seven hundred sixty".