2119101345504 has 864 divisors, whose sum is σ = 7300338409728. Its totient is φ = 577833984000.

The previous prime is 2119101345503. The next prime is 2119101345533. The reversal of 2119101345504 is 4055431019112.

2119101345504 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 10 + 134 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119101345503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4067372764 + ... + 4067373284.

It is an arithmetic number, because the mean of its divisors is an integer number (8449465752).

Almost surely, 2^{2119101345504} is an apocalyptic number.

2119101345504 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 2119101345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650169204864).

2119101345504 is an abundant number, since it is smaller than the sum of its proper divisors (5181237064224).

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

2119101345504 is a wasteful number, since it uses less digits than its factorization.

2119101345504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 2119101345504 in words is "two trillion, one hundred nineteen billion, one hundred one million, three hundred forty-five thousand, five hundred four".