2154632109696 has 1280 divisors, whose sum is σ = 7634524233600. Its totient is φ = 596241285120.

The previous prime is 2154632109673. The next prime is 2154632109761. The reversal of 2154632109696 is 6969012364512.

2154632109696 is a `hidden beast` number, since 2 + 1 + 5 + 463 + 2 + 1 + 0 + 96 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8383782400 + ... + 8383782656.

Almost surely, 2^{2154632109696} 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 2154632109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817262116800).

2154632109696 is an abundant number, since it is smaller than the sum of its proper divisors (5479892123904).

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

2154632109696 is a wasteful number, since it uses less digits than its factorization.

2154632109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2154632109696 in words is "two trillion, one hundred fifty-four billion, six hundred thirty-two million, one hundred nine thousand, six hundred ninety-six".