2591293680 has 240 divisors, whose sum is σ = 9556825824. Its totient is φ = 650280960.

The previous prime is 2591293667. The next prime is 2591293693. The reversal of 2591293680 is 863921952.

2591293680 is a `hidden beast` number, since 2 + 591 + 29 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2591293667) and next prime (2591293693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326560 + ... + 334400.

Almost surely, 2^2591293680 is an apocalyptic number.

2591293680 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 2591293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778412912).

2591293680 is an abundant number, since it is smaller than the sum of its proper divisors (6965532144).

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

2591293680 is a wasteful number, since it uses less digits than its factorization.

2591293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2591293680 is about 50904.7510552797. The cubic root of 2591293680 is about 1373.5323058762.

The spelling of 2591293680 in words is "two billion, five hundred ninety-one million, two hundred ninety-three thousand, six hundred eighty".