2782010624 has 18 divisors (see below), whose sum is σ = 5553154530. Its totient is φ = 1391005184.

The previous prime is 2782010599. The next prime is 2782010677. The reversal of 2782010624 is 4260102872.

It can be written as a sum of positive squares in only one way, i.e., 1880089600 + 901921024 = 43360^2 + 30032^2 .

It is a super-2 number, since 2×2782010624² = 15479166224097738752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5433359 + ... + 5433870.

It is an arithmetic number, because the mean of its divisors is an integer number (308508585).

Almost surely, 2^2782010624 is an apocalyptic number.

It is an amenable number.

2782010624 is a deficient number, since it is larger than the sum of its proper divisors (2771143906).

2782010624 is an equidigital number, since it uses as much as digits as its factorization.

2782010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867245 (or 10867231 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2782010624 is about 52744.7686884681. The cubic root of 2782010624 is about 1406.4347706146.

The spelling of 2782010624 in words is "two billion, seven hundred eighty-two million, ten thousand, six hundred twenty-four".