2540399760 has 240 divisors, whose sum is σ = 9369150336. Its totient is φ = 637507584.

The previous prime is 2540399759. The next prime is 2540399783. The reversal of 2540399760 is 679930452.

It is a happy number.

2540399760 is a `hidden beast` number, since 2 + 540 + 39 + 9 + 76 + 0 = 666.

2540399760 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 (240).

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

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, 326637 + ... + 334323.

Almost surely, 2^2540399760 is an apocalyptic number.

2540399760 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 2540399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684575168).

2540399760 is an abundant number, since it is smaller than the sum of its proper divisors (6828750576).

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

2540399760 is a wasteful number, since it uses less digits than its factorization.

2540399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2540399760 is about 50402.3785153042. The cubic root of 2540399760 is about 1364.4805655533.

The spelling of 2540399760 in words is "two billion, five hundred forty million, three hundred ninety-nine thousand, seven hundred sixty".