2631948768 has 48 divisors (see below), whose sum is σ = 7676519760. Its totient is φ = 877315968.

The previous prime is 2631948757. The next prime is 2631948779. The reversal of 2631948768 is 8678491362.

It is an interprime number because it is at equal distance from previous prime (2631948757) and next prime (2631948779).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522255 + ... + 1523982.

It is an arithmetic number, because the mean of its divisors is an integer number (159927495).

Almost surely, 2^2631948768 is an apocalyptic number.

It is an amenable number.

2631948768 is an abundant number, since it is smaller than the sum of its proper divisors (5044570992).

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

2631948768 is a wasteful number, since it uses less digits than its factorization.

2631948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046256 (or 3046242 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2631948768 is about 51302.5220432680. The cubic root of 2631948768 is about 1380.6782299421.

The spelling of 2631948768 in words is "two billion, six hundred thirty-one million, nine hundred forty-eight thousand, seven hundred sixty-eight".