2540983107 has 96 divisors (see below), whose sum is σ = 4077649920. Its totient is φ = 1401079680.

The previous prime is 2540983063. The next prime is 2540983111. The reversal of 2540983107 is 7013890452.

2540983107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2540983107 - 2¹⁰ = 2540982083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2540983127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20007678 + ... + 20007804.

It is an arithmetic number, because the mean of its divisors is an integer number (42475520).

Almost surely, 2^2540983107 is an apocalyptic number.

2540983107 is a deficient number, since it is larger than the sum of its proper divisors (1536666813).

2540983107 is a wasteful number, since it uses less digits than its factorization.

2540983107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2540983107 is about 50408.1650826530. The cubic root of 2540983107 is about 1364.5849985563.

The spelling of 2540983107 in words is "two billion, five hundred forty million, nine hundred eighty-three thousand, one hundred seven".