2070628560 has 960 divisors, whose sum is σ = 9944363520. Its totient is φ = 373800960.

The previous prime is 2070628537. The next prime is 2070628621. The reversal of 2070628560 is 658260702.

2070628560 is a `hidden beast` number, since 2 + 0 + 70 + 6 + 28 + 560 = 666.

2070628560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121801672 + ... + 121801688.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2^2070628560 is an apocalyptic number.

2070628560 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 2070628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2070628560 is an abundant number, since it is smaller than the sum of its proper divisors (7873734960).

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

2070628560 is a wasteful number, since it uses less digits than its factorization.

2070628560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2070628560 is about 45504.1598098460. The cubic root of 2070628560 is about 1274.5808818504.

The spelling of 2070628560 in words is "two billion, seventy million, six hundred twenty-eight thousand, five hundred sixty".