2672066880 has 336 divisors, whose sum is σ = 10895015040. Its totient is φ = 610633728.

The previous prime is 2672066879. The next prime is 2672066897. The reversal of 2672066880 is 886602762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2672066880² = 14279882822385868800, which 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541866 + ... + 546774.

It is an arithmetic number, because the mean of its divisors is an integer number (32425640).

Almost surely, 2^2672066880 is an apocalyptic number.

2672066880 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 2672066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447507520).

2672066880 is an abundant number, since it is smaller than the sum of its proper divisors (8222948160).

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

2672066880 is an equidigital number, since it uses as much as digits as its factorization.

2672066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2672066880 is about 51692.0388454547. The cubic root of 2672066880 is about 1387.6579922355.

The spelling of 2672066880 in words is "two billion, six hundred seventy-two million, sixty-six thousand, eight hundred eighty".