2782326240 has 96 divisors (see below), whose sum is σ = 9738156960. Its totient is φ = 741952512.

The previous prime is 2782326221. The next prime is 2782326251. The reversal of 2782326240 is 426232872.

It is a happy number.

2782326240 is a `hidden beast` number, since 2 + 7 + 8 + 23 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2782326195 and 2782326204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317709 + ... + 326348.

It is an arithmetic number, because the mean of its divisors is an integer number (101439135).

Almost surely, 2^2782326240 is an apocalyptic number.

2782326240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782326240 is an abundant number, since it is smaller than the sum of its proper divisors (6955830720).

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

2782326240 is a wasteful number, since it uses less digits than its factorization.

2782326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644081 (or 644067 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2782326240 is about 52747.7605211823. The cubic root of 2782326240 is about 1406.4879547551.

The spelling of 2782326240 in words is "two billion, seven hundred eighty-two million, three hundred twenty-six thousand, two hundred forty".