2782003752 has 128 divisors (see below), whose sum is σ = 8468784000. Its totient is φ = 839185920.

The previous prime is 2782003657. The next prime is 2782003799. The reversal of 2782003752 is 2573002872.

It is a happy number.

It is a super-2 number, since 2×2782003752² = 15479089752284155008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541548 + ... + 546660.

It is an arithmetic number, because the mean of its divisors is an integer number (66162375).

Almost surely, 2^2782003752 is an apocalyptic number.

2782003752 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 2782003752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234392000).

2782003752 is an abundant number, since it is smaller than the sum of its proper divisors (5686780248).

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

2782003752 is a wasteful number, since it uses less digits than its factorization.

2782003752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2782003752 is about 52744.7035445266. The cubic root of 2782003752 is about 1406.4336125760.

The spelling of 2782003752 in words is "two billion, seven hundred eighty-two million, three thousand, seven hundred fifty-two".