2672742804480 has 1584 divisors, whose sum is σ = 11672025769440. Its totient is φ = 578229829632.

The previous prime is 2672742804469. The next prime is 2672742804497. The reversal of 2672742804480 is 844082472762.

2672742804480 is a `hidden beast` number, since 2 + 6 + 72 + 74 + 28 + 0 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2445326814 + ... + 2445327906.

Almost surely, 2^{2672742804480} is an apocalyptic number.

2672742804480 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 2672742804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836012884720).

2672742804480 is an abundant number, since it is smaller than the sum of its proper divisors (8999282964960).

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

2672742804480 is a wasteful number, since it uses less digits than its factorization.

2672742804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

It can be divided in two parts, 267274280 and 4480, that added together give a triangular number (267278760 = T₂₃₁₂₀).

The spelling of 2672742804480 in words is "two trillion, six hundred seventy-two billion, seven hundred forty-two million, eight hundred four thousand, four hundred eighty".