2782972080 has 560 divisors, whose sum is σ = 11768514624. Its totient is φ = 597196800.

The previous prime is 2782972069. The next prime is 2782972081. The reversal of 2782972080 is 802792872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2782972081) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 6939880 + ... + 6940280.

Almost surely, 2^2782972080 is an apocalyptic number.

2782972080 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 2782972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884257312).

2782972080 is an abundant number, since it is smaller than the sum of its proper divisors (8985542544).

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

2782972080 is a wasteful number, since it uses less digits than its factorization.

2782972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2782972080 is about 52753.8821320289. The cubic root of 2782972080 is about 1406.5967720812.

The spelling of 2782972080 in words is "two billion, seven hundred eighty-two million, nine hundred seventy-two thousand, eighty".