2091764400 has 240 divisors, whose sum is σ = 7383063168. Its totient is φ = 502016000.

The previous prime is 2091764399. The next prime is 2091764413. The reversal of 2091764400 is 44671902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411660 + ... + 1413140.

Almost surely, 2^2091764400 is an apocalyptic number.

2091764400 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 2091764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691531584).

2091764400 is an abundant number, since it is smaller than the sum of its proper divisors (5291298768).

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

2091764400 is a wasteful number, since it uses less digits than its factorization.

2091764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2091764400 is about 45735.8109144246. The cubic root of 2091764400 is about 1278.9029499936.

The spelling of 2091764400 in words is "two billion, ninety-one million, seven hundred sixty-four thousand, four hundred".