2030668640 has 384 divisors, whose sum is σ = 6665379840. Its totient is φ = 564019200.

The previous prime is 2030668613. The next prime is 2030668697. The reversal of 2030668640 is 468660302.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2030668640.

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 63 ways as a sum of consecutive naturals, for example, 4964756 + ... + 4965164.

It is an arithmetic number, because the mean of its divisors is an integer number (17357760).

Almost surely, 2^2030668640 is an apocalyptic number.

2030668640 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 2030668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332689920).

2030668640 is an abundant number, since it is smaller than the sum of its proper divisors (4634711200).

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

2030668640 is a wasteful number, since it uses less digits than its factorization.

2030668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2030668640 is about 45062.9408716298. The cubic root of 2030668640 is about 1266.3284206105.

The spelling of 2030668640 in words is "two billion, thirty million, six hundred sixty-eight thousand, six hundred forty".