2124536414 has 192 divisors, whose sum is σ = 4688409600. Its totient is φ = 707616000.

The previous prime is 2124536413. The next prime is 2124536437. The reversal of 2124536414 is 4146354212.

2124536414 = 358² + 359² + ... + 1858².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124536413) 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 95 ways as a sum of consecutive naturals, for example, 21034964 + ... + 21035064.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^2124536414 is an apocalyptic number.

2124536414 is an abundant number, since it is smaller than the sum of its proper divisors (2563873186).

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

2124536414 is a wasteful number, since it uses less digits than its factorization.

2124536414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 2124536414 is about 46092.6937160327. The cubic root of 2124536414 is about 1285.5472975377.

The spelling of 2124536414 in words is "two billion, one hundred twenty-four million, five hundred thirty-six thousand, four hundred fourteen".