2781642384 has 70 divisors (see below), whose sum is σ = 8080485606. Its totient is φ = 927210240.

The previous prime is 2781642371. The next prime is 2781642397. The reversal of 2781642384 is 4832461872.

It is a happy number.

2781642384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2781642371) and next prime (2781642397).

It can be written as a sum of positive squares in only one way, i.e., 2732361984 + 49280400 = 52272^2 + 7020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 107577 + ... + 130904.

Almost surely, 2^2781642384 is an apocalyptic number.

2781642384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2781642384 is an abundant number, since it is smaller than the sum of its proper divisors (5298843222).

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

2781642384 is an equidigital number, since it uses as much as digits as its factorization.

2781642384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238507 (or 238486 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2781642384 is about 52741.2778002202. The cubic root of 2781642384 is about 1406.3727137713.

The spelling of 2781642384 in words is "two billion, seven hundred eighty-one million, six hundred forty-two thousand, three hundred eighty-four".