2442705300 has 432 divisors, whose sum is σ = 9151414272. Its totient is φ = 533433600.

The previous prime is 2442705277. The next prime is 2442705323. The reversal of 2442705300 is 35072442.

2442705300 is a `hidden beast` number, since 24 + 42 + 70 + 530 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2442705277) and next prime (2442705323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19233837 + ... + 19233963.

Almost surely, 2^2442705300 is an apocalyptic number.

2442705300 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 2442705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136).

2442705300 is an abundant number, since it is smaller than the sum of its proper divisors (6708708972).

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

2442705300 is a wasteful number, since it uses less digits than its factorization.

2442705300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2442705300 is about 49423.7321536931. The cubic root of 2442705300 is about 1346.7604628925.

Adding to 2442705300 its reverse (35072442), we get a palindrome (2477777742).

The spelling of 2442705300 in words is "two billion, four hundred forty-two million, seven hundred five thousand, three hundred".