2070117504000 has 3168 divisors, whose sum is σ = 9724042598400. Its totient is φ = 422682624000.

The previous prime is 2070117503959. The next prime is 2070117504101. The reversal of 2070117504000 is 4057110702.

2070117504000 is a `hidden beast` number, since 20 + 70 + 1 + 175 + 0 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66777983985 + ... + 66777984015.

Almost surely, 2^{2070117504000} is an apocalyptic number.

2070117504000 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 2070117504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862021299200).

2070117504000 is an abundant number, since it is smaller than the sum of its proper divisors (7653925094400).

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

2070117504000 is a wasteful number, since it uses less digits than its factorization.

2070117504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 2070117504000 in words is "two trillion, seventy billion, one hundred seventeen million, five hundred four thousand".