2642467590 has 384 divisors, whose sum is σ = 8982835200. Its totient is φ = 548674560.

The previous prime is 2642467571. The next prime is 2642467637. The reversal of 2642467590 is 957642462.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6972021 + ... + 6972399.

It is an arithmetic number, because the mean of its divisors is an integer number (23392800).

Almost surely, 2^2642467590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642467590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491417600).

2642467590 is an abundant number, since it is smaller than the sum of its proper divisors (6340367610).

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

2642467590 is a wasteful number, since it uses less digits than its factorization.

2642467590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2642467590 is about 51404.9374087743. The cubic root of 2642467590 is about 1382.5151202747.

The spelling of 2642467590 in words is "two billion, six hundred forty-two million, four hundred sixty-seven thousand, five hundred ninety".