2591012480 has 128 divisors (see below), whose sum is σ = 7115160960. Its totient is φ = 883814400.

The previous prime is 2591012477. The next prime is 2591012527. The reversal of 2591012480 is 842101952.

2591012480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943910 + ... + 946650.

It is an arithmetic number, because the mean of its divisors is an integer number (55587195).

Almost surely, 2^2591012480 is an apocalyptic number.

2591012480 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 2591012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557580480).

2591012480 is an abundant number, since it is smaller than the sum of its proper divisors (4524148480).

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

2591012480 is a wasteful number, since it uses less digits than its factorization.

2591012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2591012480 is about 50901.9889591753. The cubic root of 2591012480 is about 1373.4826201074.

The spelling of 2591012480 in words is "two billion, five hundred ninety-one million, twelve thousand, four hundred eighty".