2688738624 has 588 divisors, whose sum is σ = 9754526592. Its totient is φ = 727833600.

The previous prime is 2688738623. The next prime is 2688738653. The reversal of 2688738624 is 4268378862.

2688738624 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 7 + 3 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688738623) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86733489 + ... + 86733519.

Almost surely, 2^2688738624 is an apocalyptic number.

2688738624 is a gapful number since it is divisible by the number (24) 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 2688738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877263296).

2688738624 is an abundant number, since it is smaller than the sum of its proper divisors (7065787968).

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

2688738624 is a wasteful number, since it uses less digits than its factorization.

2688738624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 2688738624 is about 51853.0483578352. The cubic root of 2688738624 is about 1390.5380012865.

The spelling of 2688738624 in words is "two billion, six hundred eighty-eight million, seven hundred thirty-eight thousand, six hundred twenty-four".