2123967744 has 252 divisors, whose sum is σ = 6702276000. Its totient is φ = 669606912.

The previous prime is 2123967707. The next prime is 2123967761. The reversal of 2123967744 is 4477693212.

2123967744 is a `hidden beast` number, since 212 + 396 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×2123967744² = 9022477955104899072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123967744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3545557 + ... + 3546155.

Almost surely, 2^2123967744 is an apocalyptic number.

2123967744 is a gapful number since it is divisible by the number (24) 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 2123967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351138000).

2123967744 is an abundant number, since it is smaller than the sum of its proper divisors (4578308256).

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

2123967744 is an frugal number, since it uses more digits than its factorization.

2123967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2123967744 is about 46086.5245380903. The cubic root of 2123967744 is about 1285.4325874276.

The spelling of 2123967744 in words is "two billion, one hundred twenty-three million, nine hundred sixty-seven thousand, seven hundred forty-four".