2034416471957 has 2 divisors, whose sum is σ = 2034416471958. Its totient is φ = 2034416471956.

The previous prime is 2034416471951. The next prime is 2034416471963. The reversal of 2034416471957 is 7591746144302.

It is a balanced prime because it is at equal distance from previous prime (2034416471951) and next prime (2034416471963).

It can be written as a sum of positive squares in only one way, i.e., 1669589599876 + 364826872081 = 1292126^2 + 604009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2034416471957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2034416471899 and 2034416471908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034416471951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017208235978 + 1017208235979.

It is an arithmetic number, because the mean of its divisors is an integer number (1017208235979).

Almost surely, 2^{2034416471957} is an apocalyptic number.

It is an amenable number.

2034416471957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034416471957 is an equidigital number, since it uses as much as digits as its factorization.

2034416471957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 2034416471957 in words is "two trillion, thirty-four billion, four hundred sixteen million, four hundred seventy-one thousand, nine hundred fifty-seven".