2631948139584 has 189 divisors, whose sum is σ = 7888949414983. Its totient is φ = 838886340864.

The previous prime is 2631948139543. The next prime is 2631948139591. The reversal of 2631948139584 is 4859318491362.

The square root of 2631948139584 is 1622328.

It is a perfect power (a square), and thus also a powerful number.

2631948139584 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 9 + 48 + 1 + 3 + 9 + 584 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 895523587 + ... + 895526525.

Almost surely, 2^{2631948139584} is an apocalyptic number.

2631948139584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2631948139584 is the 1622328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631948139584

2631948139584 is an abundant number, since it is smaller than the sum of its proper divisors (5257001275399).

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

2631948139584 is an frugal number, since it uses more digits than its factorization.

2631948139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 2967 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 2631948139584 in words is "two trillion, six hundred thirty-one billion, nine hundred forty-eight million, one hundred thirty-nine thousand, five hundred eighty-four".