2672221625280 has 336 divisors, whose sum is σ = 9413623300224. Its totient is φ = 695388395520.

The previous prime is 2672221625233. The next prime is 2672221625329. The reversal of 2672221625280 is 825261222762.

2672221625280 is a `hidden beast` number, since 2 + 67 + 2 + 2 + 2 + 1 + 62 + 528 + 0 = 666.

It is a super-2 number, since 2×2672221625280² (a number of 26 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 145007427 + ... + 145025853.

Almost surely, 2^{2672221625280} is an apocalyptic number.

2672221625280 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 2672221625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706811650112).

2672221625280 is an abundant number, since it is smaller than the sum of its proper divisors (6741401674944).

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

2672221625280 is a wasteful number, since it uses less digits than its factorization.

2672221625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664 (or 19651 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2672221625280 in words is "two trillion, six hundred seventy-two billion, two hundred twenty-one million, six hundred twenty-five thousand, two hundred eighty".