2792581040 has 40 divisors (see below), whose sum is σ = 6516242160. Its totient is φ = 1112990976.

The previous prime is 2792581039. The next prime is 2792581079. The reversal of 2792581040 is 401852972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2792581040³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2792580985 and 2792581003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40850 + ... + 85169.

It is an arithmetic number, because the mean of its divisors is an integer number (162906054).

Almost surely, 2^2792581040 is an apocalyptic number.

2792581040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2792581040 is an abundant number, since it is smaller than the sum of its proper divisors (3723661120).

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

2792581040 is a wasteful number, since it uses less digits than its factorization.

2792581040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126309 (or 126303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2792581040 is about 52844.8771405517. The cubic root of 2792581040 is about 1408.2137970584.

The spelling of 2792581040 in words is "two billion, seven hundred ninety-two million, five hundred eighty-one thousand, forty".