2642689152 has 224 divisors, whose sum is σ = 7991316480. Its totient is φ = 870041088.

The previous prime is 2642689111. The next prime is 2642689211. The reversal of 2642689152 is 2519862462.

It is a junction number, because it is equal to n+sod(n) for n = 2642689098 and 2642689107.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11850513 + ... + 11850735.

It is an arithmetic number, because the mean of its divisors is an integer number (35675520).

Almost surely, 2^2642689152 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 2642689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995658240).

2642689152 is an abundant number, since it is smaller than the sum of its proper divisors (5348627328).

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

2642689152 is an equidigital number, since it uses as much as digits as its factorization.

2642689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2642689152 is about 51407.0924289635. The cubic root of 2642689152 is about 1382.5537589390.

The spelling of 2642689152 in words is "two billion, six hundred forty-two million, six hundred eighty-nine thousand, one hundred fifty-two".