2782493952 has 72 divisors (see below), whose sum is σ = 8463435456. Its totient is φ = 794996736.

The previous prime is 2782493951. The next prime is 2782493957. The reversal of 2782493952 is 2593942872.

It is a junction number, because it is equal to n+sod(n) for n = 2782493895 and 2782493904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782493951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253413 + ... + 264164.

Almost surely, 2^2782493952 is an apocalyptic number.

It is an amenable number.

2782493952 is an abundant number, since it is smaller than the sum of its proper divisors (5680941504).

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

2782493952 is an equidigital number, since it uses as much as digits as its factorization.

2782493952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517603 (or 517589 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2782493952 is about 52749.3502519225. The cubic root of 2782493952 is about 1406.5162141021.

The spelling of 2782493952 in words is "two billion, seven hundred eighty-two million, four hundred ninety-three thousand, nine hundred fifty-two".