2123567760 has 40 divisors (see below), whose sum is σ = 6583060800. Its totient is φ = 566284672.

The previous prime is 2123567741. The next prime is 2123567777. The reversal of 2123567760 is 677653212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2123567760² = 9019080062622835200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423860 + ... + 4424339.

It is an arithmetic number, because the mean of its divisors is an integer number (164576520).

Almost surely, 2^2123567760 is an apocalyptic number.

2123567760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123567760 is an abundant number, since it is smaller than the sum of its proper divisors (4459493040).

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

2123567760 is a wasteful number, since it uses less digits than its factorization.

2123567760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848215 (or 8848209 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 2123567760 is about 46082.1848440371. The cubic root of 2123567760 is about 1285.3518917975.

It can be divided in two parts, 212356 and 7760, that added together give a triangular number (220116 = T₆₆₃).

The spelling of 2123567760 in words is "two billion, one hundred twenty-three million, five hundred sixty-seven thousand, seven hundred sixty".