2034312402400 has 72 divisors (see below), whose sum is σ = 4967635504104. Its totient is φ = 813500428800.

The previous prime is 2034312402389. The next prime is 2034312402403. The reversal of 2034312402400 is 42042134302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034312402403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2565390 + ... + 3263410.

It is an arithmetic number, because the mean of its divisors is an integer number (68994937557).

Almost surely, 2^{2034312402400} is an apocalyptic number.

2034312402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034312402400 is an abundant number, since it is smaller than the sum of its proper divisors (2933323101704).

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

2034312402400 is a wasteful number, since it uses less digits than its factorization.

2034312402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701684 (or 701671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2034312402400 its reverse (42042134302), we get a palindrome (2076354536702).

The spelling of 2034312402400 in words is "two trillion, thirty-four billion, three hundred twelve million, four hundred two thousand, four hundred".