2123008392960 has 2160 divisors, whose sum is σ = 9906572712960. Its totient is φ = 423890288640.

The previous prime is 2123008392949. The next prime is 2123008392961. The reversal of 2123008392960 is 692938003212.

It is a happy number.

2123008392960 is a `hidden beast` number, since 21 + 2 + 300 + 8 + 39 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123008392961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2330414905 + ... + 2330415815.

It is an arithmetic number, because the mean of its divisors is an integer number (4586376256).

Almost surely, 2^{2123008392960} is an apocalyptic number.

2123008392960 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 2123008392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953286356480).

2123008392960 is an abundant number, since it is smaller than the sum of its proper divisors (7783564320000).

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

2123008392960 is a wasteful number, since it uses less digits than its factorization.

2123008392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2123008392960 in words is "two trillion, one hundred twenty-three billion, eight million, three hundred ninety-two thousand, nine hundred sixty".