2123507760 has 160 divisors (see below), whose sum is σ = 7283105280. Its totient is φ = 507494400.

The previous prime is 2123507759. The next prime is 2123507767. The reversal of 2123507760 is 677053212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2123507767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181776 + ... + 193104.

It is an arithmetic number, because the mean of its divisors is an integer number (45519408).

Almost surely, 2^2123507760 is an apocalyptic number.

2123507760 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 2123507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641552640).

2123507760 is an abundant number, since it is smaller than the sum of its proper divisors (5159597520).

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

2123507760 is a wasteful number, since it uses less digits than its factorization.

2123507760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2123507760 is about 46081.5338286390. The cubic root of 2123507760 is about 1285.3397860948.

The spelling of 2123507760 in words is "two billion, one hundred twenty-three million, five hundred seven thousand, seven hundred sixty".