2070648720 has 480 divisors, whose sum is σ = 8505169920. Its totient is φ = 441262080.

The previous prime is 2070648677. The next prime is 2070648851. The reversal of 2070648720 is 278460702.

2070648720 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 648 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×2070648720² = 8575172243275276800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4530732 + ... + 4531188.

It is an arithmetic number, because the mean of its divisors is an integer number (17719104).

Almost surely, 2^2070648720 is an apocalyptic number.

2070648720 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 2070648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252584960).

2070648720 is an abundant number, since it is smaller than the sum of its proper divisors (6434521200).

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

2070648720 is a wasteful number, since it uses less digits than its factorization.

2070648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2070648720 is about 45504.3813275161. The cubic root of 2070648720 is about 1274.5850183507.

The spelling of 2070648720 in words is "two billion, seventy million, six hundred forty-eight thousand, seven hundred twenty".