2091031200 has 540 divisors, whose sum is σ = 8102227518. Its totient is φ = 524620800.

The previous prime is 2091031193. The next prime is 2091031211. The reversal of 2091031200 is 21301902.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 938564496 + 1152466704 = 30636^2 + 33948^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×2091031200² = 8744822958746880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 34279170 + ... + 34279230.

Almost surely, 2^2091031200 is an apocalyptic number.

2091031200 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 2091031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051113759).

2091031200 is an abundant number, since it is smaller than the sum of its proper divisors (6011196318).

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

2091031200 is a wasteful number, since it uses less digits than its factorization.

2091031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2091031200 is about 45727.7946111553. The cubic root of 2091031200 is about 1278.7535065822.

The spelling of 2091031200 in words is "two billion, ninety-one million, thirty-one thousand, two hundred".