2116546080 has 384 divisors, whose sum is σ = 7659380736. Its totient is φ = 486604800.

The previous prime is 2116546079. The next prime is 2116546093. The reversal of 2116546080 is 806456112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10966464 + ... + 10966656.

It is an arithmetic number, because the mean of its divisors is an integer number (19946304).

Almost surely, 2^2116546080 is an apocalyptic number.

2116546080 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 2116546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829690368).

2116546080 is an abundant number, since it is smaller than the sum of its proper divisors (5542834656).

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

2116546080 is a wasteful number, since it uses less digits than its factorization.

2116546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2116546080 is about 46005.9352692672. The cubic root of 2116546080 is about 1283.9336346363.

The spelling of 2116546080 in words is "two billion, one hundred sixteen million, five hundred forty-six thousand, eighty".