2034183357504 has 567 divisors, whose sum is σ = 6345531348663. Its totient is φ = 646946092800.

The previous prime is 2034183357499. The next prime is 2034183357517. The reversal of 2034183357504 is 4057533814302.

The square root of 2034183357504 is 1426248.

It is a perfect power (a square), and thus also a powerful number.

2034183357504 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 8 + 33 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×2034183357504² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2034183357504.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 28650469789 + ... + 28650469859.

Almost surely, 2^{2034183357504} is an apocalyptic number.

2034183357504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2034183357504 is the 1426248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034183357504

2034183357504 is an abundant number, since it is smaller than the sum of its proper divisors (4311347991159).

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

2034183357504 is an frugal number, since it uses more digits than its factorization.

2034183357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2034183357504 in words is "two trillion, thirty-four billion, one hundred eighty-three million, three hundred fifty-seven thousand, five hundred four".