2096182752400 has 135 divisors (see below), whose sum is σ = 5536366185259. Its totient is φ = 762132448000.

The previous prime is 2096182752371. The next prime is 2096182752407. The reversal of 2096182752400 is 42572816902.

The square root of 2096182752400 is 1447820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 342613550224 + 1753569202176 = 585332^2 + 1324224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2096182752407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 318517110 + ... + 318523690.

Almost surely, 2^{2096182752400} is an apocalyptic number.

2096182752400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2096182752400 is the 1447820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096182752400

2096182752400 is an abundant number, since it is smaller than the sum of its proper divisors (3440183432859).

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

2096182752400 is an frugal number, since it uses more digits than its factorization.

2096182752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13202 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 2096182752400 in words is "two trillion, ninety-six billion, one hundred eighty-two million, seven hundred fifty-two thousand, four hundred".