2260419033961 has 27 divisors (see below), whose sum is σ = 2567908826679. Its totient is φ = 1988187405600.

The previous prime is 2260419033949. The next prime is 2260419034007. The reversal of 2260419033961 is 1693309140622.

The square root of 2260419033961 is 1503469.

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

It can be written as a sum of positive squares in only one way, i.e., 169965728361 + 2090453305600 = 412269^2 + 1445840^2 .

It is not a de Polignac number, because 2260419033961 - 2¹³ = 2260419025769 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2260419031961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 512680725 + ... + 512685133.

Almost surely, 2^{2260419033961} is an apocalyptic number.

2260419033961 is the 1503469-th square number.

2260419033961 is the 751735-th centered octagonal number.

It is an amenable number.

2260419033961 is a deficient number, since it is larger than the sum of its proper divisors (307489792718).

2260419033961 is an frugal number, since it uses more digits than its factorization.

2260419033961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 2260419033961 in words is "two trillion, two hundred sixty billion, four hundred nineteen million, thirty-three thousand, nine hundred sixty-one".