2514742144 has 32 divisors (see below), whose sum is σ = 5116442400. Its totient is φ = 1230615552.

The previous prime is 2514742133. The next prime is 2514742147. The reversal of 2514742144 is 4412474152.

2514742144 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2514742147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202989 + ... + 215020.

It is an arithmetic number, because the mean of its divisors is an integer number (159888825).

Almost surely, 2^2514742144 is an apocalyptic number.

It is an amenable number.

2514742144 is an abundant number, since it is smaller than the sum of its proper divisors (2601700256).

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

2514742144 is an equidigital number, since it uses as much as digits as its factorization.

2514742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418070 (or 418058 counting only the distinct ones).

The product of its digits is 35840, while the sum is 34.

The square root of 2514742144 is about 50147.2047476228. The cubic root of 2514742144 is about 1359.8713373092.

The spelling of 2514742144 in words is "two billion, five hundred fourteen million, seven hundred forty-two thousand, one hundred forty-four".