6242042400 has 288 divisors, whose sum is σ = 22393941696. Its totient is φ = 1497600000.

The previous prime is 6242042399. The next prime is 6242042419. The reversal of 6242042400 is 42402426.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665230 + ... + 2667570.

It is an arithmetic number, because the mean of its divisors is an integer number (77756742).

Almost surely, 2^6242042400 is an apocalyptic number.

6242042400 is a gapful number since it is divisible by the number (60) 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 6242042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196970848).

6242042400 is an abundant number, since it is smaller than the sum of its proper divisors (16151899296).

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

6242042400 is a wasteful number, since it uses less digits than its factorization.

6242042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2463 counting only the distinct ones).

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

The square root of 6242042400 is about 79006.5971928927. The cubic root of 6242042400 is about 1841.2336559935.

Adding to 6242042400 its reverse (42402426), we get a palindrome (6284444826).

The spelling of 6242042400 in words is "six billion, two hundred forty-two million, forty-two thousand, four hundred".