2119042632960 has 720 divisors, whose sum is σ = 8287957827072. Its totient is φ = 512693452800.

The previous prime is 2119042632953. The next prime is 2119042632961. The reversal of 2119042632960 is 692362409112.

2119042632960 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 0 + 4 + 2 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (2119042632961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 692269830 + ... + 692272890.

Almost surely, 2^{2119042632960} is an apocalyptic number.

2119042632960 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 2119042632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143978913536).

2119042632960 is an abundant number, since it is smaller than the sum of its proper divisors (6168915194112).

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

2119042632960 is a wasteful number, since it uses less digits than its factorization.

2119042632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3689 counting only the distinct ones).

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

The spelling of 2119042632960 in words is "two trillion, one hundred nineteen billion, forty-two million, six hundred thirty-two thousand, nine hundred sixty".