2040121600 has 108 divisors (see below), whose sum is σ = 5508866160. Its totient is φ = 741836800.

The previous prime is 2040121579. The next prime is 2040121613. The reversal of 2040121600 is 61210402.

It is a super-2 number, since 2×2040121600² = 8324192285573120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55911 + ... + 84889.

It is an arithmetic number, because the mean of its divisors is an integer number (51008020).

Almost surely, 2^2040121600 is an apocalyptic number.

2040121600 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 2040121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754433080).

2040121600 is an abundant number, since it is smaller than the sum of its proper divisors (3468744560).

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

2040121600 is a wasteful number, since it uses less digits than its factorization.

2040121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29016 (or 28997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2040121600 is about 45167.7052771114. The cubic root of 2040121600 is about 1268.2903400928.

The spelling of 2040121600 in words is "two billion, forty million, one hundred twenty-one thousand, six hundred".