2072290164000 has 576 divisors, whose sum is σ = 7920006232320. Its totient is φ = 472298803200.

The previous prime is 2072290163971. The next prime is 2072290164023. The reversal of 2072290164000 is 4610922702.

It is a super-2 number, since 2×2072290164000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211087092 + ... + 211096908.

It is an arithmetic number, because the mean of its divisors is an integer number (13750010820).

Almost surely, 2^{2072290164000} is an apocalyptic number.

2072290164000 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 2072290164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960003116160).

2072290164000 is an abundant number, since it is smaller than the sum of its proper divisors (5847716068320).

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

2072290164000 is a wasteful number, since it uses less digits than its factorization.

2072290164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 2072290164000 in words is "two trillion, seventy-two billion, two hundred ninety million, one hundred sixty-four thousand".