2102062400 has 84 divisors (see below), whose sum is σ = 5204021088. Its totient is φ = 835683840.

The previous prime is 2102062363. The next prime is 2102062409. The reversal of 2102062400 is 42602012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102062409) 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, 263267 + ... + 271133.

It is an arithmetic number, because the mean of its divisors is an integer number (61952632).

Almost surely, 2^2102062400 is an apocalyptic number.

2102062400 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 2102062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602010544).

2102062400 is an abundant number, since it is smaller than the sum of its proper divisors (3101958688).

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

2102062400 is a wasteful number, since it uses less digits than its factorization.

2102062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2102062400 is about 45848.2540561797. The cubic root of 2102062400 is about 1280.9982447253.

Adding to 2102062400 its reverse (42602012), we get a palindrome (2144664412).

The spelling of 2102062400 in words is "two billion, one hundred two million, sixty-two thousand, four hundred".