2631389499648 has 864 divisors, whose sum is σ = 9976956953600. Its totient is φ = 647588265984.

The previous prime is 2631389499647. The next prime is 2631389499671. The reversal of 2631389499648 is 8469949831362.

2631389499648 is a `hidden beast` number, since 2 + 6 + 3 + 13 + 89 + 499 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (2631389499643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266897343 + ... + 266907201.

Almost surely, 2^{2631389499648} is an apocalyptic number.

2631389499648 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 2631389499648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988478476800).

2631389499648 is an abundant number, since it is smaller than the sum of its proper divisors (7345567453952).

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

2631389499648 is a wasteful number, since it uses less digits than its factorization.

2631389499648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9970 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 2631389499648 in words is "two trillion, six hundred thirty-one billion, three hundred eighty-nine million, four hundred ninety-nine thousand, six hundred forty-eight".