2514206040 has 128 divisors (see below), whose sum is σ = 7821662400. Its totient is φ = 645765120.

The previous prime is 2514206039. The next prime is 2514206081. The reversal of 2514206040 is 406024152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2514206040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299734 + ... + 2300826.

Almost surely, 2^2514206040 is an apocalyptic number.

2514206040 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 2514206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910831200).

2514206040 is an abundant number, since it is smaller than the sum of its proper divisors (5307456360).

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

2514206040 is a wasteful number, since it uses less digits than its factorization.

2514206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2514206040 is about 50141.8591597878. The cubic root of 2514206040 is about 1359.7746959528.

The spelling of 2514206040 in words is "two billion, five hundred fourteen million, two hundred six thousand, forty".