2042366400 has 588 divisors, whose sum is σ = 8055479952. Its totient is φ = 507617280.

The previous prime is 2042366357. The next prime is 2042366401. The reversal of 2042366400 is 46632402.

2042366400 is a `hidden beast` number, since 20 + 4 + 236 + 6 + 400 = 666.

It is a super-3 number, since 3×2042366400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042366401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19828749 + ... + 19828851.

Almost surely, 2^2042366400 is an apocalyptic number.

2042366400 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 2042366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027739976).

2042366400 is an abundant number, since it is smaller than the sum of its proper divisors (6013113552).

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

2042366400 is a wasteful number, since it uses less digits than its factorization.

2042366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2042366400 is about 45192.5480582806. The cubic root of 2042366400 is about 1268.7553474339.

Adding to 2042366400 its reverse (46632402), we get a palindrome (2088998802).

The spelling of 2042366400 in words is "two billion, forty-two million, three hundred sixty-six thousand, four hundred".