2400214819257 has 6 divisors (see below), whose sum is σ = 3466976961162. Its totient is φ = 1600143212832.

The previous prime is 2400214819253. The next prime is 2400214819271. The reversal of 2400214819257 is 7529184120042.

2400214819257 is a `hidden beast` number, since 2 + 400 + 2 + 1 + 4 + 8 + 192 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2329832851641 + 70381967616 = 1526379^2 + 265296^2 .

It is not a de Polignac number, because 2400214819257 - 2² = 2400214819253 is a prime.

It is a super-2 number, since 2×2400214819257² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400214819253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133345267728 + ... + 133345267745.

It is an arithmetic number, because the mean of its divisors is an integer number (577829493527).

Almost surely, 2^{2400214819257} is an apocalyptic number.

It is an amenable number.

2400214819257 is a deficient number, since it is larger than the sum of its proper divisors (1066762141905).

2400214819257 is a wasteful number, since it uses less digits than its factorization.

2400214819257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266690535479 (or 266690535476 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 2400214819257 its reverse (7529184120042), we get a palindrome (9929398939299).

The spelling of 2400214819257 in words is "two trillion, four hundred billion, two hundred fourteen million, eight hundred nineteen thousand, two hundred fifty-seven".