2442662000 has 80 divisors (see below), whose sum is σ = 6253876512. Its totient is φ = 919577600.

The previous prime is 2442661981. The next prime is 2442662003. The reversal of 2442662000 is 2662442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442662003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922 + ... + 69921.

Almost surely, 2^2442662000 is an apocalyptic number.

2442662000 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 2442662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126938256).

2442662000 is an abundant number, since it is smaller than the sum of its proper divisors (3811214512).

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

2442662000 is a wasteful number, since it uses less digits than its factorization.

2442662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71883 (or 71867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2442662000 is about 49423.2941030846. The cubic root of 2442662000 is about 1346.7525051755.

The spelling of 2442662000 in words is "two billion, four hundred forty-two million, six hundred sixty-two thousand".