4246242000 has 960 divisors, whose sum is σ = 18894290688. Its totient is φ = 806400000.

The previous prime is 4246241981. The next prime is 4246242023. The reversal of 4246242000 is 2426424.

It is a super-2 number, since 2×4246242000² = 36061142245128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42041950 + ... + 42042050.

Almost surely, 2^4246242000 is an apocalyptic number.

4246242000 is a gapful number since it is divisible by the number (40) 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 4246242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447145344).

4246242000 is an abundant number, since it is smaller than the sum of its proper divisors (14648048688).

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

4246242000 is a wasteful number, since it uses less digits than its factorization.

4246242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4246242000 is about 65163.1951334494. The cubic root of 4246242000 is about 1619.3283300005.

Adding to 4246242000 its reverse (2426424), we get a palindrome (4248668424).

It can be divided in two parts, 424624 and 2000, that added together give a palindrome (426624).

The spelling of 4246242000 in words is "four billion, two hundred forty-six million, two hundred forty-two thousand".