2672033760 has 288 divisors, whose sum is σ = 10181179008. Its totient is φ = 632540160.

The previous prime is 2672033647. The next prime is 2672033851. The reversal of 2672033760 is 673302762.

2672033760 is a `hidden beast` number, since 267 + 2 + 0 + 337 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 679159 + ... + 683081.

It is an arithmetic number, because the mean of its divisors is an integer number (35351316).

Almost surely, 2^2672033760 is an apocalyptic number.

2672033760 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 2672033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090589504).

2672033760 is an abundant number, since it is smaller than the sum of its proper divisors (7509145248).

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

2672033760 is a wasteful number, since it uses less digits than its factorization.

2672033760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 2672033760 is about 51691.7184856530. The cubic root of 2672033760 is about 1387.6522589181.

The spelling of 2672033760 in words is "two billion, six hundred seventy-two million, thirty-three thousand, seven hundred sixty".