2007647488 has 216 divisors, whose sum is σ = 5167362816. Its totient is φ = 761671680.

The previous prime is 2007647471. The next prime is 2007647497. The reversal of 2007647488 is 8847467002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10191006 + ... + 10191202.

It is an arithmetic number, because the mean of its divisors is an integer number (23922976).

Almost surely, 2^2007647488 is an apocalyptic number.

2007647488 is a gapful number since it is divisible by the number (28) 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 2007647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583681408).

2007647488 is an abundant number, since it is smaller than the sum of its proper divisors (3159715328).

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

2007647488 is a wasteful number, since it uses less digits than its factorization.

2007647488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 2007647488 is about 44806.7794870374. The cubic root of 2007647488 is about 1261.5248792693.

The spelling of 2007647488 in words is "two billion, seven million, six hundred forty-seven thousand, four hundred eighty-eight".