2588463840 has 96 divisors (see below), whose sum is σ = 8161534080. Its totient is φ = 689590784.

The previous prime is 2588463799. The next prime is 2588463859. The reversal of 2588463840 is 483648852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2588463840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683071 + ... + 686849.

It is an arithmetic number, because the mean of its divisors is an integer number (85015980).

Almost surely, 2^2588463840 is an apocalyptic number.

2588463840 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 2588463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080767040).

2588463840 is an abundant number, since it is smaller than the sum of its proper divisors (5573070240).

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

2588463840 is a wasteful number, since it uses less digits than its factorization.

2588463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2588463840 is about 50876.9480216728. The cubic root of 2588463840 is about 1373.0321319739.

The spelling of 2588463840 in words is "two billion, five hundred eighty-eight million, four hundred sixty-three thousand, eight hundred forty".