2102400024 has 32 divisors (see below), whose sum is σ = 5259448320. Its totient is φ = 700340256.

The previous prime is 2102400023. The next prime is 2102400059. The reversal of 2102400024 is 4200042012.

It is a junction number, because it is equal to n+sod(n) for n = 2102399976 and 2102400012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102400023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9657 + ... + 65559.

It is an arithmetic number, because the mean of its divisors is an integer number (164357760).

Almost surely, 2^2102400024 is an apocalyptic number.

2102400024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2102400024 is an abundant number, since it is smaller than the sum of its proper divisors (3157048296).

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

2102400024 is a wasteful number, since it uses less digits than its factorization.

2102400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57479 (or 57475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2102400024 is about 45851.9358806147. The cubic root of 2102400024 is about 1281.0668238183.

Adding to 2102400024 its reverse (4200042012), we get a palindrome (6302442036).

The spelling of 2102400024 in words is "two billion, one hundred two million, four hundred thousand, twenty-four".