2442582000 has 160 divisors (see below), whose sum is σ = 8750064960. Its totient is φ = 651340800.

The previous prime is 2442581987. The next prime is 2442582029. The reversal of 2442582000 is 2852442.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31384 + ... + 76616.

It is an arithmetic number, because the mean of its divisors is an integer number (54687906).

Almost surely, 2^2442582000 is an apocalyptic number.

2442582000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375032480).

2442582000 is an abundant number, since it is smaller than the sum of its proper divisors (6307482960).

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

2442582000 is a wasteful number, since it uses less digits than its factorization.

2442582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45265 (or 45243 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2442582000 is about 49422.4847614929. The cubic root of 2442582000 is about 1346.7378024486.

The spelling of 2442582000 in words is "two billion, four hundred forty-two million, five hundred eighty-two thousand".