2434005616900 has 243 divisors, whose sum is σ = 6292311555999. Its totient is φ = 816260016000.

The previous prime is 2434005616871. The next prime is 2434005616951. The reversal of 2434005616900 is 96165004342.

The square root of 2434005616900 is 1560130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 627368548356 + 1806637068544 = 792066^2 + 1344112^2 .

It is a super-2 number, since 2×2434005616900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2230985355 + ... + 2230986445.

Almost surely, 2^{2434005616900} is an apocalyptic number.

2434005616900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2434005616900 is the 1560130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434005616900

2434005616900 is an abundant number, since it is smaller than the sum of its proper divisors (3858305939099).

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

2434005616900 is a wasteful number, since it uses less digits than its factorization.

2434005616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 2434005616900 in words is "two trillion, four hundred thirty-four billion, five million, six hundred sixteen thousand, nine hundred".