2669382720 has 336 divisors, whose sum is σ = 9814072320. Its totient is φ = 664473600.

The previous prime is 2669382679. The next prime is 2669382731. The reversal of 2669382720 is 272839662.

2669382720 is a `hidden beast` number, since 266 + 9 + 382 + 7 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2588605 + ... + 2589635.

Almost surely, 2^2669382720 is an apocalyptic number.

2669382720 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 2669382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160).

2669382720 is an abundant number, since it is smaller than the sum of its proper divisors (7144689600).

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

2669382720 is a wasteful number, since it uses less digits than its factorization.

2669382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2669382720 is about 51666.0693298803. The cubic root of 2669382720 is about 1387.1931905015.

The spelling of 2669382720 in words is "two billion, six hundred sixty-nine million, three hundred eighty-two thousand, seven hundred twenty".