2540926080 has 768 divisors, whose sum is σ = 11617032960. Its totient is φ = 495452160.

The previous prime is 2540926051. The next prime is 2540926093. The reversal of 2540926080 is 806290452.

It is a happy number.

2540926080 is a `hidden beast` number, since 2 + 5 + 40 + 9 + 2 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539672 + ... + 7540008.

It is an arithmetic number, because the mean of its divisors is an integer number (15126345).

Almost surely, 2^2540926080 is an apocalyptic number.

2540926080 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 2540926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808516480).

2540926080 is an abundant number, since it is smaller than the sum of its proper divisors (9076106880).

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

2540926080 is a wasteful number, since it uses less digits than its factorization.

2540926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2540926080 is about 50407.5994270705. The cubic root of 2540926080 is about 1364.5747900704.

The spelling of 2540926080 in words is "two billion, five hundred forty million, nine hundred twenty-six thousand, eighty".