2034311130400 has 72 divisors (see below), whose sum is σ = 4968685085364. Its totient is φ = 813327436800.

The previous prime is 2034311130389. The next prime is 2034311130409. The reversal of 2034311130400 is 40311134302.

It can be written as a sum of positive squares in 6 ways, for example, as 364540627984 + 1669770502416 = 603772^2 + 1292196^2 .

It is not an unprimeable number, because it can be changed into a prime (2034311130409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1023090 + ... + 2261710.

Almost surely, 2^{2034311130400} is an apocalyptic number.

2034311130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034311130400 is an abundant number, since it is smaller than the sum of its proper divisors (2934373954964).

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

2034311130400 is a wasteful number, since it uses less digits than its factorization.

2034311130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240694 (or 1240681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2034311130400 its reverse (40311134302), we get a palindrome (2074622264702).

The spelling of 2034311130400 in words is "two trillion, thirty-four billion, three hundred eleven million, one hundred thirty thousand, four hundred".