2760440672 has 48 divisors (see below), whose sum is σ = 5941216512. Its totient is φ = 1252091520.

The previous prime is 2760440653. The next prime is 2760440689.

2760440672 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2760440672³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163373 + ... + 179475.

It is an arithmetic number, because the mean of its divisors is an integer number (123775344).

Almost surely, 2^2760440672 is an apocalyptic number.

2760440672 is a gapful number since it is divisible by the number (22) 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 2760440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970608256).

2760440672 is an abundant number, since it is smaller than the sum of its proper divisors (3180775840).

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

2760440672 is a wasteful number, since it uses less digits than its factorization.

2760440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16603 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 2760440672 is about 52539.8960029424. The cubic root of 2760440672 is about 1402.7904670247.

The spelling of 2760440672 in words is "two billion, seven hundred sixty million, four hundred forty thousand, six hundred seventy-two".