2540931300 has 108 divisors (see below), whose sum is σ = 8114832180. Its totient is φ = 664784640.

The previous prime is 2540931257. The next prime is 2540931311. The reversal of 2540931300 is 31390452.

2540931300 is a `hidden beast` number, since 2 + 540 + 93 + 1 + 30 + 0 = 666.

2540931300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 188293284 + 2352638016 = 13722^2 + 48504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21066 + ... + 74334.

It is an arithmetic number, because the mean of its divisors is an integer number (75137335).

Almost surely, 2^2540931300 is an apocalyptic number.

2540931300 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 2540931300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057416090).

2540931300 is an abundant number, since it is smaller than the sum of its proper divisors (5573900880).

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

2540931300 is a wasteful number, since it uses less digits than its factorization.

2540931300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53342 (or 53332 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2540931300 is about 50407.6512049510. The cubic root of 2540931300 is about 1364.5757245165.

The spelling of 2540931300 in words is "two billion, five hundred forty million, nine hundred thirty-one thousand, three hundred".