2154402938688 has 1344 divisors, whose sum is σ = 8300967091200. Its totient is φ = 483344547840.

The previous prime is 2154402938683. The next prime is 2154402938719. The reversal of 2154402938688 is 8868392044512.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2154402938688² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154402938683) 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, 2274976231 + ... + 2274977177.

It is an arithmetic number, because the mean of its divisors is an integer number (6176314800).

Almost surely, 2^{2154402938688} is an apocalyptic number.

2154402938688 is a gapful number since it is divisible by the number (28) 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 2154402938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150483545600).

2154402938688 is an abundant number, since it is smaller than the sum of its proper divisors (6146564152512).

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

2154402938688 is a wasteful number, since it uses less digits than its factorization.

2154402938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 2154402938688 in words is "two trillion, one hundred fifty-four billion, four hundred two million, nine hundred thirty-eight thousand, six hundred eighty-eight".