2070916560 has 360 divisors, whose sum is σ = 7462537992. Its totient is φ = 514252800.

The previous prime is 2070916559. The next prime is 2070916583. The reversal of 2070916560 is 656190702.

2070916560 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 91 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 2059707456 = 3348^2 + 45384^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 28368684 + ... + 28368756.

Almost surely, 2^2070916560 is an apocalyptic number.

2070916560 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 2070916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731268996).

2070916560 is an abundant number, since it is smaller than the sum of its proper divisors (5391621432).

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

2070916560 is a wasteful number, since it uses less digits than its factorization.

2070916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2070916560 is about 45507.3242456640. The cubic root of 2070916560 is about 1274.6399721646.

The spelling of 2070916560 in words is "two billion, seventy million, nine hundred sixteen thousand, five hundred sixty".