2070106254972 has 384 divisors, whose sum is σ = 6596029440000. Its totient is φ = 559667102400.

The previous prime is 2070106254967. The next prime is 2070106254973. The reversal of 2070106254972 is 2794526010702.

2070106254972 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 10 + 625 + 4 + 9 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070106254973) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1021265023 + ... + 1021267049.

It is an arithmetic number, because the mean of its divisors is an integer number (17177160000).

Almost surely, 2^{2070106254972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070106254972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298014720000).

2070106254972 is an abundant number, since it is smaller than the sum of its proper divisors (4525923185028).

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

2070106254972 is a wasteful number, since it uses less digits than its factorization.

2070106254972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2070106254972 in words is "two trillion, seventy billion, one hundred six million, two hundred fifty-four thousand, nine hundred seventy-two".