2119969013760 has 672 divisors, whose sum is σ = 8207682472080. Its totient is φ = 521838526464.

The previous prime is 2119969013737. The next prime is 2119969013803. The reversal of 2119969013760 is 673109699112.

2119969013760 is a `hidden beast` number, since 21 + 199 + 69 + 0 + 1 + 376 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2119969013697 and 2119969013706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163074539514 + ... + 163074539526.

Almost surely, 2^{2119969013760} is an apocalyptic number.

2119969013760 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 2119969013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103841236040).

2119969013760 is an abundant number, since it is smaller than the sum of its proper divisors (6087713458320).

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

2119969013760 is an frugal number, since it uses more digits than its factorization.

2119969013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 2119969013760 in words is "two trillion, one hundred nineteen billion, nine hundred sixty-nine million, thirteen thousand, seven hundred sixty".