2102344400 has 120 divisors (see below), whose sum is σ = 5457426744. Its totient is φ = 773683200.

The previous prime is 2102344399. The next prime is 2102344459. The reversal of 2102344400 is 44432012.

It can be written as a sum of positive squares in 12 ways, for example, as 735711376 + 1366633024 = 27124^2 + 36968^2 .

It is a super-2 number, since 2×2102344400² = 8839703952422720000, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396762 + ... + 2397638.

Almost surely, 2^2102344400 is an apocalyptic number.

2102344400 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 2102344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728713372).

2102344400 is an abundant number, since it is smaller than the sum of its proper divisors (3355082344).

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

2102344400 is a wasteful number, since it uses less digits than its factorization.

2102344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

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

The square root of 2102344400 is about 45851.3293155171. The cubic root of 2102344400 is about 1281.0555258273.

Adding to 2102344400 its reverse (44432012), we get a palindrome (2146776412).

The spelling of 2102344400 in words is "two billion, one hundred two million, three hundred forty-four thousand, four hundred".