2070101604480 has 576 divisors, whose sum is σ = 8311671144000. Its totient is φ = 436765335552.

The previous prime is 2070101604449. The next prime is 2070101604511. The reversal of 2070101604480 is 844061010702.

It is an interprime number because it is at equal distance from previous prime (2070101604449) and next prime (2070101604511).

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, 15834421 + ... + 15964619.

It is an arithmetic number, because the mean of its divisors is an integer number (14429984625).

Almost surely, 2^{2070101604480} is an apocalyptic number.

2070101604480 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 2070101604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155835572000).

2070101604480 is an abundant number, since it is smaller than the sum of its proper divisors (6241569539520).

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

2070101604480 is a wasteful number, since it uses less digits than its factorization.

2070101604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130261 (or 130229 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 2070101604480 in words is "two trillion, seventy billion, one hundred one million, six hundred four thousand, four hundred eighty".