2540165144 has 64 divisors (see below), whose sum is σ = 5460618240. Its totient is φ = 1097228160.

The previous prime is 2540165137. The next prime is 2540165153. The reversal of 2540165144 is 4415610452.

2540165144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 2920453095 it forms a betrothed pair.

It is a self number, because there is not a number n which added to its sum of digits gives 2540165144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130937 + ... + 149079.

It is an arithmetic number, because the mean of its divisors is an integer number (85322160).

Almost surely, 2^2540165144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540165144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

2540165144 is an abundant number, since it is smaller than the sum of its proper divisors (2920453096).

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

2540165144 is a wasteful number, since it uses less digits than its factorization.

2540165144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2540165144 is about 50400.0510317202. The cubic root of 2540165144 is about 1364.4385591950.

Adding to 2540165144 its reverse (4415610452), we get a palindrome (6955775596).

The spelling of 2540165144 in words is "two billion, five hundred forty million, one hundred sixty-five thousand, one hundred forty-four".