2664969120 has 192 divisors, whose sum is σ = 10175518080. Its totient is φ = 646041600.

The previous prime is 2664969119. The next prime is 2664969149. The reversal of 2664969120 is 219694662.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19480 + ... + 75560.

It is an arithmetic number, because the mean of its divisors is an integer number (52997490).

Almost surely, 2^2664969120 is an apocalyptic number.

2664969120 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 2664969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087759040).

2664969120 is an abundant number, since it is smaller than the sum of its proper divisors (7510548960).

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

2664969120 is a wasteful number, since it uses less digits than its factorization.

2664969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56116 (or 56102 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2664969120 is about 51623.3389079009. The cubic root of 2664969120 is about 1386.4282329606.

The spelling of 2664969120 in words is "two billion, six hundred sixty-four million, nine hundred sixty-nine thousand, one hundred twenty".