2896392642 has 192 divisors, whose sum is σ = 7336396800. Its totient is φ = 753442560.

The previous prime is 2896392613. The next prime is 2896392679. The reversal of 2896392642 is 2462936982.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16742068 + ... + 16742240.

It is an arithmetic number, because the mean of its divisors is an integer number (38210400).

Almost surely, 2^2896392642 is an apocalyptic number.

2896392642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896392642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668198400).

2896392642 is an abundant number, since it is smaller than the sum of its proper divisors (4440004158).

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

2896392642 is a wasteful number, since it uses less digits than its factorization.

2896392642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 2896392642 is about 53818.1441709021. The cubic root of 2896392642 is about 1425.4516089084.

The spelling of 2896392642 in words is "two billion, eight hundred ninety-six million, three hundred ninety-two thousand, six hundred forty-two".