2092015104400 has 135 divisors (see below), whose sum is σ = 5443405310979. Its totient is φ = 772297493760.

The previous prime is 2092015104371. The next prime is 2092015104481. The reversal of 2092015104400 is 44015102902.

The square root of 2092015104400 is 1446380.

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 539219987856 + 1552795116544 = 734316^2 + 1246112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376056019 + ... + 376061581.

Almost surely, 2^{2092015104400} is an apocalyptic number.

2092015104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2092015104400 is the 1446380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092015104400

2092015104400 is an abundant number, since it is smaller than the sum of its proper divisors (3351390206579).

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

2092015104400 is an frugal number, since it uses more digits than its factorization.

2092015104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 2092015104400 in words is "two trillion, ninety-two billion, fifteen million, one hundred four thousand, four hundred".