2906624616 has 128 divisors (see below), whose sum is σ = 8515584000. Its totient is φ = 809609472.

The previous prime is 2906624599. The next prime is 2906624687. The reversal of 2906624616 is 6164266092.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1257670 + ... + 1259978.

It is an arithmetic number, because the mean of its divisors is an integer number (66528000).

Almost surely, 2^2906624616 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 2906624616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792000).

2906624616 is an abundant number, since it is smaller than the sum of its proper divisors (5608959384).

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

2906624616 is a wasteful number, since it uses less digits than its factorization.

2906624616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2906624616 is about 53913.1210003650. The cubic root of 2906624616 is about 1427.1281820797.

The spelling of 2906624616 in words is "two billion, nine hundred six million, six hundred twenty-four thousand, six hundred sixteen".