2072861280 has 480 divisors, whose sum is σ = 8502145344. Its totient is φ = 465813504.

The previous prime is 2072861267. The next prime is 2072861321. The reversal of 2072861280 is 821682702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2072861280² = 8593507772246476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6622404 + ... + 6622716.

Almost surely, 2^2072861280 is an apocalyptic number.

2072861280 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 2072861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251072672).

2072861280 is an abundant number, since it is smaller than the sum of its proper divisors (6429284064).

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

2072861280 is a wasteful number, since it uses less digits than its factorization.

2072861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2072861280 is about 45528.6863416901. The cubic root of 2072861280 is about 1275.0388361873.

The spelling of 2072861280 in words is "two billion, seventy-two million, eight hundred sixty-one thousand, two hundred eighty".