2540505960 has 192 divisors, whose sum is σ = 8904168000. Its totient is φ = 626088960.

The previous prime is 2540505953. The next prime is 2540505967. The reversal of 2540505960 is 695050452.

2540505960 is a `hidden beast` number, since 2 + 540 + 5 + 0 + 59 + 60 = 666.

2540505960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2540505953) and next prime (2540505967).

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

It is not an unprimeable number, because it can be changed into a prime (2540505967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275911 + ... + 284969.

It is an arithmetic number, because the mean of its divisors is an integer number (46375875).

Almost surely, 2^2540505960 is an apocalyptic number.

2540505960 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 2540505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452084000).

2540505960 is an abundant number, since it is smaller than the sum of its proper divisors (6363662040).

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

2540505960 is a wasteful number, since it uses less digits than its factorization.

2540505960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2540505960 is about 50403.4320260039. The cubic root of 2540505960 is about 1364.4995790723.

The spelling of 2540505960 in words is "two billion, five hundred forty million, five hundred five thousand, nine hundred sixty".