2400402024 has 24 divisors (see below), whose sum is σ = 6501089010. Its totient is φ = 800133984.

The previous prime is 2400401999. The next prime is 2400402041. The reversal of 2400402024 is 4202040042.

2400402024 is a `hidden beast` number, since 240 + 0 + 402 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2400020100 + 381924 = 48990^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400401988 and 2400402006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16669387 + ... + 16669530.

Almost surely, 2^2400402024 is an apocalyptic number.

2400402024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400402024 is an abundant number, since it is smaller than the sum of its proper divisors (4100686986).

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

2400402024 is a wasteful number, since it uses less digits than its factorization.

2400402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33338929 (or 33338922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2400402024 is about 48993.8978241168. The cubic root of 2400402024 is about 1338.9406537995.

Adding to 2400402024 its reverse (4202040042), we get a palindrome (6602442066).

It can be divided in two parts, 240040 and 2024, that added together give a square (242064 = 492²).

The spelling of 2400402024 in words is "two billion, four hundred million, four hundred two thousand, twenty-four".