2488272864 has 192 divisors, whose sum is σ = 8622899712. Its totient is φ = 608256000.

The previous prime is 2488272841. The next prime is 2488272883. The reversal of 2488272864 is 4682728842.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115764 + ... + 135564.

It is an arithmetic number, because the mean of its divisors is an integer number (44910936).

Almost surely, 2^2488272864 is an apocalyptic number.

2488272864 is a gapful number since it is divisible by the number (24) 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 2488272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311449856).

2488272864 is an abundant number, since it is smaller than the sum of its proper divisors (6134626848).

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

2488272864 is a wasteful number, since it uses less digits than its factorization.

2488272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19849 (or 19841 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 2488272864 is about 49882.5907907759. The cubic root of 2488272864 is about 1355.0833250774.

The spelling of 2488272864 in words is "two billion, four hundred eighty-eight million, two hundred seventy-two thousand, eight hundred sixty-four".