2610432416 has 48 divisors (see below), whose sum is σ = 5451364800. Its totient is φ = 1226234880.

The previous prime is 2610432367. The next prime is 2610432457. The reversal of 2610432416 is 6142340162.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321851 + ... + 329861.

It is an arithmetic number, because the mean of its divisors is an integer number (113570100).

Almost surely, 2^2610432416 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 2610432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725682400).

2610432416 is an abundant number, since it is smaller than the sum of its proper divisors (2840932384).

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

2610432416 is a wasteful number, since it uses less digits than its factorization.

2610432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2610432416 is about 51092.3909794795. The cubic root of 2610432416 is about 1376.9055525144.

Adding to 2610432416 its reverse (6142340162), we get a palindrome (8752772578).

The spelling of 2610432416 in words is "two billion, six hundred ten million, four hundred thirty-two thousand, four hundred sixteen".