2070047508480 has 2160 divisors, whose sum is σ = 9086746048380. Its totient is φ = 449251246080.

The previous prime is 2070047508439. The next prime is 2070047508491. The reversal of 2070047508480 is 848057400702.

2070047508480 is a `hidden beast` number, since 20 + 7 + 0 + 0 + 47 + 508 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2066141758464 + 3905750016 = 1437408^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 39057500134 + ... + 39057500186.

Almost surely, 2^{2070047508480} is an apocalyptic number.

2070047508480 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 2070047508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543373024190).

2070047508480 is an abundant number, since it is smaller than the sum of its proper divisors (7016698539900).

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

2070047508480 is an equidigital number, since it uses as much as digits as its factorization.

2070047508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2070047508480 in words is "two trillion, seventy billion, forty-seven million, five hundred eight thousand, four hundred eighty".