2792712215040 has 480 divisors, whose sum is σ = 10390684328640. Its totient is φ = 637192765440.

The previous prime is 2792712215039. The next prime is 2792712215081. The reversal of 2792712215040 is 405122172972.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2792712214983 and 2792712215001.

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 47 ways as a sum of consecutive naturals, for example, 15709371 + ... + 15886149.

It is an arithmetic number, because the mean of its divisors is an integer number (21647259018).

Almost surely, 2^{2792712215040} is an apocalyptic number.

2792712215040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792712215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195342164320).

2792712215040 is an abundant number, since it is smaller than the sum of its proper divisors (7597972113600).

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

2792712215040 is a wasteful number, since it uses less digits than its factorization.

2792712215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176844 (or 176817 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 2792712215040 in words is "two trillion, seven hundred ninety-two billion, seven hundred twelve million, two hundred fifteen thousand, forty".