2789459460 has 36 divisors (see below), whose sum is σ = 8461360908. Its totient is φ = 743855808.

The previous prime is 2789459437. The next prime is 2789459461. The reversal of 2789459460 is 649549872.

It can be written as a sum of positive squares in 2 ways, for example, as 2059162884 + 730296576 = 45378^2 + 27024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2789459397 and 2789459406.

It is not an unprimeable number, because it can be changed into a prime (2789459461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7748319 + ... + 7748678.

It is an arithmetic number, because the mean of its divisors is an integer number (235037803).

Almost surely, 2^2789459460 is an apocalyptic number.

2789459460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2789459460 is an abundant number, since it is smaller than the sum of its proper divisors (5671901448).

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

2789459460 is a wasteful number, since it uses less digits than its factorization.

2789459460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497012 (or 15497007 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2789459460 is about 52815.3335689551. Note that the first 3 decimals coincide. The cubic root of 2789459460 is about 1407.6888954362.

The spelling of 2789459460 in words is "two billion, seven hundred eighty-nine million, four hundred fifty-nine thousand, four hundred sixty".