2781006432 has 48 divisors (see below), whose sum is σ = 7497452592. Its totient is φ = 901946880.

The previous prime is 2781006419. The next prime is 2781006433. The reversal of 2781006432 is 2346001872.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2781006393 and 2781006402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781006433) 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 7 ways as a sum of consecutive naturals, for example, 387919 + ... + 395022.

It is an arithmetic number, because the mean of its divisors is an integer number (156196929).

Almost surely, 2^2781006432 is an apocalyptic number.

It is an amenable number.

2781006432 is an abundant number, since it is smaller than the sum of its proper divisors (4716446160).

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

2781006432 is a wasteful number, since it uses less digits than its factorization.

2781006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782991 (or 782983 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2781006432 is about 52735.2484776549. The cubic root of 2781006432 is about 1406.2655284488.

The spelling of 2781006432 in words is "two billion, seven hundred eighty-one million, six thousand, four hundred thirty-two".