2792410016 has 96 divisors (see below), whose sum is σ = 6117140736. Its totient is φ = 1244160000.

The previous prime is 2792410003. The next prime is 2792410039. The reversal of 2792410016 is 6100142972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 6963416 + ... + 6963816.

It is an arithmetic number, because the mean of its divisors is an integer number (63720216).

Almost surely, 2^2792410016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058570368).

2792410016 is an abundant number, since it is smaller than the sum of its proper divisors (3324730720).

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

2792410016 is a wasteful number, since it uses less digits than its factorization.

2792410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2792410016 is about 52843.2589456782. The cubic root of 2792410016 is about 1408.1850490687.

Adding to 2792410016 its reverse (6100142972), we get a palindrome (8892552988).

The spelling of 2792410016 in words is "two billion, seven hundred ninety-two million, four hundred ten thousand, sixteen".