2999138688 has 576 divisors, whose sum is σ = 11152879920. Its totient is φ = 766402560.

The previous prime is 2999138677. The next prime is 2999138707. The reversal of 2999138688 is 8868319992.

2999138688 is a `hidden beast` number, since 2 + 99 + 91 + 386 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2999138688² = 17989665739716722688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44763231 + ... + 44763297.

Almost surely, 2^2999138688 is an apocalyptic number.

2999138688 is a gapful number since it is divisible by the number (28) 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 2999138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576439960).

2999138688 is an abundant number, since it is smaller than the sum of its proper divisors (8153741232).

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

2999138688 is a wasteful number, since it uses less digits than its factorization.

2999138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 2999138688 is about 54764.3925192273. The cubic root of 2999138688 is about 1442.1115318892. Note that the first 3 decimals are identical.

The spelling of 2999138688 in words is "two billion, nine hundred ninety-nine million, one hundred thirty-eight thousand, six hundred eighty-eight".