2091464100 has 432 divisors, whose sum is σ = 7775127360. Its totient is φ = 466099200.

The previous prime is 2091464077. The next prime is 2091464101. The reversal of 2091464100 is 14641902.

2091464100 is a `hidden beast` number, since 2 + 0 + 9 + 14 + 641 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2091464101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48638679 + ... + 48638721.

It is an arithmetic number, because the mean of its divisors is an integer number (17997980).

Almost surely, 2^2091464100 is an apocalyptic number.

2091464100 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 2091464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887563680).

2091464100 is an abundant number, since it is smaller than the sum of its proper divisors (5683663260).

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

2091464100 is a wasteful number, since it uses less digits than its factorization.

2091464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2091464100 is about 45732.5278111761. The cubic root of 2091464100 is about 1278.8417460109.

The spelling of 2091464100 in words is "two billion, ninety-one million, four hundred sixty-four thousand, one hundred".