2042104034400 has 144 divisors (see below), whose sum is σ = 6772465065744. Its totient is φ = 534286305280.

The previous prime is 2042104034353. The next prime is 2042104034407. The reversal of 2042104034400 is 44304012402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042104034407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7899939 + ... + 8154338.

It is an arithmetic number, because the mean of its divisors is an integer number (47031007401).

Almost surely, 2^{2042104034400} is an apocalyptic number.

2042104034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042104034400 is an abundant number, since it is smaller than the sum of its proper divisors (4730361031344).

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

2042104034400 is a wasteful number, since it uses less digits than its factorization.

2042104034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16054353 (or 16054340 counting only the distinct ones).

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

Adding to 2042104034400 its reverse (44304012402), we get a palindrome (2086408046802).

The spelling of 2042104034400 in words is "two trillion, forty-two billion, one hundred four million, thirty-four thousand, four hundred".