2642070816 has 216 divisors, whose sum is σ = 9439178112. Its totient is φ = 686188800.

The previous prime is 2642070811. The next prime is 2642070833. The reversal of 2642070816 is 6180702462.

2642070816 is a `hidden beast` number, since 2 + 642 + 0 + 7 + 0 + 8 + 1 + 6 = 666.

2642070816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2642070811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238521 + ... + 249351.

Almost surely, 2^2642070816 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 2642070816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719589056).

2642070816 is an abundant number, since it is smaller than the sum of its proper divisors (6797107296).

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

2642070816 is a wasteful number, since it uses less digits than its factorization.

2642070816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2642070816 is about 51401.0779653501. The cubic root of 2642070816 is about 1382.4459206229.

The spelling of 2642070816 in words is "two billion, six hundred forty-two million, seventy thousand, eight hundred sixteen".