2042306897400 has 1440 divisors, whose sum is σ = 9080520126480. Its totient is φ = 424155916800.

The previous prime is 2042306897383. The next prime is 2042306897413. The reversal of 2042306897400 is 47986032402.

2042306897400 is a `hidden beast` number, since 2 + 0 + 4 + 230 + 6 + 8 + 9 + 7 + 400 = 666.

It is a super-2 number, since 2×2042306897400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1056546834 + ... + 1056548766.

Almost surely, 2^{2042306897400} is an apocalyptic number.

2042306897400 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 2042306897400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540260063240).

2042306897400 is an abundant number, since it is smaller than the sum of its proper divisors (7038213229080).

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

2042306897400 is a wasteful number, since it uses less digits than its factorization.

2042306897400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2042306897400 in words is "two trillion, forty-two billion, three hundred six million, eight hundred ninety-seven thousand, four hundred".