2119851651456 has 1536 divisors, whose sum is σ = 8532905472000. Its totient is φ = 505095782400.

The previous prime is 2119851651451. The next prime is 2119851651493. The reversal of 2119851651456 is 6541561589112.

2119851651456 is a `hidden beast` number, since 2 + 1 + 1 + 98 + 51 + 6 + 51 + 456 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119851651451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2040280185 + ... + 2040281223.

It is an arithmetic number, because the mean of its divisors is an integer number (5555277000).

Almost surely, 2^{2119851651456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119851651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266452736000).

2119851651456 is an abundant number, since it is smaller than the sum of its proper divisors (6413053820544).

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

2119851651456 is a wasteful number, since it uses less digits than its factorization.

2119851651456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1120 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 2119851651456 in words is "two trillion, one hundred nineteen billion, eight hundred fifty-one million, six hundred fifty-one thousand, four hundred fifty-six".