2782765790640 has 240 divisors, whose sum is σ = 10300148310816. Its totient is φ = 667654963200.

The previous prime is 2782765790639. The next prime is 2782765790659. The reversal of 2782765790640 is 460975672872.

2782765790640 is a `hidden beast` number, since 278 + 276 + 5 + 7 + 90 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042891 + ... + 2579370.

Almost surely, 2^{2782765790640} is an apocalyptic number.

2782765790640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782765790640 is an abundant number, since it is smaller than the sum of its proper divisors (7517382520176).

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

2782765790640 is a wasteful number, since it uses less digits than its factorization.

2782765790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622388 (or 3622379 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2782765790640 in words is "two trillion, seven hundred eighty-two billion, seven hundred sixty-five million, seven hundred ninety thousand, six hundred forty".