2034937120 has 96 divisors (see below), whose sum is σ = 4920190128. Its totient is φ = 795045888.

The previous prime is 2034937097. The next prime is 2034937127. The reversal of 2034937120 is 217394302.

It can be written as a sum of positive squares in 8 ways, for example, as 677456784 + 1357480336 = 26028^2 + 36844^2 .

It is not an unprimeable number, because it can be changed into a prime (2034937127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2687782 + ... + 2688538.

Almost surely, 2^2034937120 is an apocalyptic number.

2034937120 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 2034937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460095064).

2034937120 is an abundant number, since it is smaller than the sum of its proper divisors (2885253008).

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

2034937120 is a wasteful number, since it uses less digits than its factorization.

2034937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2034937120 is about 45110.2773212491. The cubic root of 2034937120 is about 1267.2150767792.

The spelling of 2034937120 in words is "two billion, thirty-four million, nine hundred thirty-seven thousand, one hundred twenty".