2762968320 has 648 divisors, whose sum is σ = 11586242304. Its totient is φ = 618098688.

The previous prime is 2762968309. The next prime is 2762968331. The reversal of 2762968320 is 238692672.

It is an interprime number because it is at equal distance from previous prime (2762968309) and next prime (2762968331).

It is a tau number, because it is divible by the number of its divisors (648).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58786537 + ... + 58786583.

Almost surely, 2^2762968320 is an apocalyptic number.

2762968320 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 2762968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793121152).

2762968320 is an abundant number, since it is smaller than the sum of its proper divisors (8823273984).

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

2762968320 is an frugal number, since it uses more digits than its factorization.

2762968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2762968320 is about 52563.9450574251. The cubic root of 2762968320 is about 1403.2184999903.

The spelling of 2762968320 in words is "two billion, seven hundred sixty-two million, nine hundred sixty-eight thousand, three hundred twenty".