2442562000 has 80 divisors (see below), whose sum is σ = 6003236304. Its totient is φ = 960960000.

The previous prime is 2442561971. The next prime is 2442562049. The reversal of 2442562000 is 2652442.

It can be written as a sum of positive squares in 8 ways, for example, as 2113792576 + 328769424 = 45976^2 + 18132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2442562000² = 11932218247688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111990 + ... + 132010.

Almost surely, 2^2442562000 is an apocalyptic number.

2442562000 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 2442562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001618152).

2442562000 is an abundant number, since it is smaller than the sum of its proper divisors (3560674304).

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

2442562000 is a wasteful number, since it uses less digits than its factorization.

2442562000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2442562000 is about 49422.2824240241. The cubic root of 2442562000 is about 1346.7341267168.

The spelling of 2442562000 in words is "two billion, four hundred forty-two million, five hundred sixty-two thousand".