2334020400 has 120 divisors (see below), whose sum is σ = 8307422160. Its totient is φ = 622402560.

The previous prime is 2334020399. The next prime is 2334020419. The reversal of 2334020400 is 40204332.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97257 + ... + 118856.

It is an arithmetic number, because the mean of its divisors is an integer number (69228518).

Almost surely, 2^2334020400 is an apocalyptic number.

2334020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334020400 is an abundant number, since it is smaller than the sum of its proper divisors (5973401760).

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

2334020400 is a wasteful number, since it uses less digits than its factorization.

2334020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216140 (or 216123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2334020400 is about 48311.7004461652. The cubic root of 2334020400 is about 1326.4825745026.

Adding to 2334020400 its reverse (40204332), we get a palindrome (2374224732).

The spelling of 2334020400 in words is "two billion, three hundred thirty-four million, twenty thousand, four hundred".