2414507940 has 120 divisors (see below), whose sum is σ = 8157118200. Its totient is φ = 594335232.

The previous prime is 2414507933. The next prime is 2414507959. The reversal of 2414507940 is 497054142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3305124 + 2411202816 = 1818^2 + 49104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2414507895 and 2414507904.

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 39 ways as a sum of consecutive naturals, for example, 36265 + ... + 78384.

It is an arithmetic number, because the mean of its divisors is an integer number (67975985).

Almost surely, 2^2414507940 is an apocalyptic number.

2414507940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414507940 is an abundant number, since it is smaller than the sum of its proper divisors (5742610260).

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

2414507940 is a wasteful number, since it uses less digits than its factorization.

2414507940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114683 (or 114672 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2414507940 is about 49137.6428006065. The cubic root of 2414507940 is about 1341.5582859269.

The spelling of 2414507940 in words is "two billion, four hundred fourteen million, five hundred seven thousand, nine hundred forty".