2400788340 has 36 divisors (see below), whose sum is σ = 7282391844. Its totient is φ = 640210176.

The previous prime is 2400788311. The next prime is 2400788387. The reversal of 2400788340 is 438870042.

2400788340 is a `hidden beast` number, since 240 + 0 + 78 + 8 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 735168996 + 1665619344 = 27114^2 + 40812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2400788295 and 2400788304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6668677 + ... + 6669036.

Almost surely, 2^2400788340 is an apocalyptic number.

2400788340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400788340 is an abundant number, since it is smaller than the sum of its proper divisors (4881603504).

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

2400788340 is a wasteful number, since it uses less digits than its factorization.

2400788340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337728 (or 13337723 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2400788340 is about 48997.8401564804. The cubic root of 2400788340 is about 1339.0124787752.

The spelling of 2400788340 in words is "two billion, four hundred million, seven hundred eighty-eight thousand, three hundred forty".