2402004100 has 36 divisors (see below), whose sum is σ = 5228860644. Its totient is φ = 957758080.

The previous prime is 2402004097. The next prime is 2402004107. The reversal of 2402004100 is 14002042.

It can be written as a sum of positive squares in 6 ways, for example, as 1162400836 + 1239603264 = 34094^2 + 35208^2 .

It is not an unprimeable number, because it can be changed into a prime (2402004107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6187 + ... + 69586.

It is an arithmetic number, because the mean of its divisors is an integer number (145246129).

Almost surely, 2^2402004100 is an apocalyptic number.

2402004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402004100 is an abundant number, since it is smaller than the sum of its proper divisors (2826856544).

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

2402004100 is a wasteful number, since it uses less digits than its factorization.

2402004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76104 (or 76097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2402004100 is about 49010.2448473786. The cubic root of 2402004100 is about 1339.2384660851.

Adding to 2402004100 its reverse (14002042), we get a palindrome (2416006142).

The spelling of 2402004100 in words is "two billion, four hundred two million, four thousand, one hundred".