2514138240 has 128 divisors (see below), whose sum is σ = 8062830720. Its totient is φ = 666337280.

The previous prime is 2514138169. The next prime is 2514138281. The reversal of 2514138240 is 428314152.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2514138198 and 2514138207.

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, 316720 + ... + 324560.

It is an arithmetic number, because the mean of its divisors is an integer number (62990865).

Almost surely, 2^2514138240 is an apocalyptic number.

2514138240 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 2514138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031415360).

2514138240 is an abundant number, since it is smaller than the sum of its proper divisors (5548692480).

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

2514138240 is a wasteful number, since it uses less digits than its factorization.

2514138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2514138240 is about 50141.1830733979. The cubic root of 2514138240 is about 1359.7624729353.

The spelling of 2514138240 in words is "two billion, five hundred fourteen million, one hundred thirty-eight thousand, two hundred forty".