2402042400 has 432 divisors, whose sum is σ = 8871932160. Its totient is φ = 611020800.

The previous prime is 2402042389. The next prime is 2402042411. The reversal of 2402042400 is 42402042.

2402042400 is a `hidden beast` number, since 240 + 2 + 0 + 424 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2402042389) and next prime (2402042411).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23320749 + ... + 23320851.

It is an arithmetic number, because the mean of its divisors is an integer number (20536880).

Almost surely, 2^2402042400 is an apocalyptic number.

2402042400 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 2402042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435966080).

2402042400 is an abundant number, since it is smaller than the sum of its proper divisors (6469889760).

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

2402042400 is a wasteful number, since it uses less digits than its factorization.

2402042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

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

The square root of 2402042400 is about 49010.6355804534. The cubic root of 2402042400 is about 1339.2455841080.

Adding to 2402042400 its reverse (42402042), we get a palindrome (2444444442).

The spelling of 2402042400 in words is "two billion, four hundred two million, forty-two thousand, four hundred".