2642124078 has 96 divisors (see below), whose sum is σ = 6726994560. Its totient is φ = 740819520.

The previous prime is 2642124073. The next prime is 2642124131. The reversal of 2642124078 is 8704212462.

2642124078 is a `hidden beast` number, since 2 + 642 + 1 + 2 + 4 + 0 + 7 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642124073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153600 + ... + 169932.

It is an arithmetic number, because the mean of its divisors is an integer number (70072860).

Almost surely, 2^2642124078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642124078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363497280).

2642124078 is an abundant number, since it is smaller than the sum of its proper divisors (4084870482).

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

2642124078 is a wasteful number, since it uses less digits than its factorization.

2642124078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16414 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2642124078 is about 51401.5960647138. The cubic root of 2642124078 is about 1382.4552102224.

The spelling of 2642124078 in words is "two billion, six hundred forty-two million, one hundred twenty-four thousand, seventy-eight".