2154516320 has 192 divisors, whose sum is σ = 5719859712. Its totient is φ = 766656000.

The previous prime is 2154516319. The next prime is 2154516341. The reversal of 2154516320 is 236154512.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14268245 + ... + 14268395.

It is an arithmetic number, because the mean of its divisors is an integer number (29790936).

Almost surely, 2^2154516320 is an apocalyptic number.

2154516320 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 2154516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859929856).

2154516320 is an abundant number, since it is smaller than the sum of its proper divisors (3565343392).

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

2154516320 is a wasteful number, since it uses less digits than its factorization.

2154516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2154516320 is about 46416.7676599739. The cubic root of 2154516320 is about 1291.5659767690.

The spelling of 2154516320 in words is "two billion, one hundred fifty-four million, five hundred sixteen thousand, three hundred twenty".