2649670688 has 216 divisors, whose sum is σ = 6654783744. Its totient is φ = 1034208000.

The previous prime is 2649670687. The next prime is 2649670703. The reversal of 2649670688 is 8860769462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2649670687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17547413 + ... + 17547563.

It is an arithmetic number, because the mean of its divisors is an integer number (30809184).

Almost surely, 2^2649670688 is an apocalyptic number.

2649670688 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 2649670688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327391872).

2649670688 is an abundant number, since it is smaller than the sum of its proper divisors (4005113056).

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

2649670688 is a wasteful number, since it uses less digits than its factorization.

2649670688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The square root of 2649670688 is about 51474.9520446595. The cubic root of 2649670688 is about 1383.7701791311.

The spelling of 2649670688 in words is "two billion, six hundred forty-nine million, six hundred seventy thousand, six hundred eighty-eight".