2631654480 has 640 divisors, whose sum is σ = 10879303680. Its totient is φ = 513976320.

The previous prime is 2631654463. The next prime is 2631654491. The reversal of 2631654480 is 844561362.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84892065 + ... + 84892095.

It is an arithmetic number, because the mean of its divisors is an integer number (16998912).

Almost surely, 2^2631654480 is an apocalyptic number.

2631654480 is a gapful number since it is divisible by the number (20) 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 2631654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439651840).

2631654480 is an abundant number, since it is smaller than the sum of its proper divisors (8247649200).

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

2631654480 is a wasteful number, since it uses less digits than its factorization.

2631654480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2631654480 is about 51299.6538000014. The cubic root of 2631654480 is about 1380.6267684313.

The spelling of 2631654480 in words is "two billion, six hundred thirty-one million, six hundred fifty-four thousand, four hundred eighty".