2034888960 has 144 divisors (see below), whose sum is σ = 6999015744. Its totient is φ = 500883456.

The previous prime is 2034888941. The next prime is 2034888991. The reversal of 2034888960 is 698884302.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 29539 + ... + 70301.

It is an arithmetic number, because the mean of its divisors is an integer number (48604276).

Almost surely, 2^2034888960 is an apocalyptic number.

2034888960 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 2034888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499507872).

2034888960 is an abundant number, since it is smaller than the sum of its proper divisors (4964126784).

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

2034888960 is a wasteful number, since it uses less digits than its factorization.

2034888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40800 (or 40786 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2034888960 is about 45109.7435151210. The cubic root of 2034888960 is about 1267.2050798184.

The spelling of 2034888960 in words is "two billion, thirty-four million, eight hundred eighty-eight thousand, nine hundred sixty".