2640150720 has 448 divisors, whose sum is σ = 9908438400. Its totient is φ = 660602880.

The previous prime is 2640150713. The next prime is 2640150769. The reversal of 2640150720 is 270510462.

2640150720 is a `hidden beast` number, since 2 + 640 + 15 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 10272832 + ... + 10273088.

It is an arithmetic number, because the mean of its divisors is an integer number (22117050).

Almost surely, 2^2640150720 is an apocalyptic number.

2640150720 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 2640150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954219200).

2640150720 is an abundant number, since it is smaller than the sum of its proper divisors (7268287680).

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

2640150720 is a wasteful number, since it uses less digits than its factorization.

2640150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2640150720 is about 51382.3969857382. The cubic root of 2640150720 is about 1382.1109469914.

The spelling of 2640150720 in words is "two billion, six hundred forty million, one hundred fifty thousand, seven hundred twenty".