2401342400 has 42 divisors (see below), whose sum is σ = 5908807080. Its totient is φ = 960536320.

The previous prime is 2401342337. The next prime is 2401342423. The reversal of 2401342400 is 42431042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748820 + ... + 752019.

Almost surely, 2^2401342400 is an apocalyptic number.

2401342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401342400 is an abundant number, since it is smaller than the sum of its proper divisors (3507464680).

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

2401342400 is a wasteful number, since it uses less digits than its factorization.

2401342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500861 (or 1500846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2401342400 is about 49003.4937529968. The cubic root of 2401342400 is about 1339.1154777467.

Adding to 2401342400 its reverse (42431042), we get a palindrome (2443773442).

The spelling of 2401342400 in words is "two billion, four hundred one million, three hundred forty-two thousand, four hundred".