2091147366400 has 117 divisors (see below), whose sum is σ = 5186560129401. Its totient is φ = 836273848320.

The previous prime is 2091147366311. The next prime is 2091147366403. The reversal of 2091147366400 is 46637411902.

The square root of 2091147366400 is 1446080.

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

It can be written as a sum of positive squares in only one way, i.e., 752813051904 + 1338334314496 = 867648^2 + 1156864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2091147366403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 462743341 + ... + 462747859.

Almost surely, 2^{2091147366400} is an apocalyptic number.

2091147366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2091147366400 is the 1446080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091147366400

2091147366400 is an abundant number, since it is smaller than the sum of its proper divisors (3095412763001).

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

2091147366400 is an frugal number, since it uses more digits than its factorization.

2091147366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 2091147366400 in words is "two trillion, ninety-one billion, one hundred forty-seven million, three hundred sixty-six thousand, four hundred".