2160778752 has 240 divisors, whose sum is σ = 6955483392. Its totient is φ = 640143360.

The previous prime is 2160778747. The next prime is 2160778801. The reversal of 2160778752 is 2578770612.

It is a junction number, because it is equal to n+sod(n) for n = 2160778698 and 2160778707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381883 + ... + 2382789.

Almost surely, 2^2160778752 is an apocalyptic number.

2160778752 is a gapful number since it is divisible by the number (22) 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 2160778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477741696).

2160778752 is an abundant number, since it is smaller than the sum of its proper divisors (4794704640).

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

2160778752 is a wasteful number, since it uses less digits than its factorization.

2160778752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2160778752 is about 46484.1774370592. The cubic root of 2160778752 is about 1292.8161444574.

The spelling of 2160778752 in words is "two billion, one hundred sixty million, seven hundred seventy-eight thousand, seven hundred fifty-two".