2890263240 has 96 divisors (see below), whose sum is σ = 9453370680. Its totient is φ = 765812736.

The previous prime is 2890263209. The next prime is 2890263241. The reversal of 2890263240 is 423620982.

It can be written as a sum of positive squares in 4 ways, for example, as 2612640996 + 277622244 = 51114^2 + 16662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2890263195 and 2890263204.

It is not an unprimeable number, because it can be changed into a prime (2890263241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30952 + ... + 82088.

Almost surely, 2^2890263240 is an apocalyptic number.

2890263240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726685340).

2890263240 is an abundant number, since it is smaller than the sum of its proper divisors (6563107440).

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

2890263240 is a wasteful number, since it uses less digits than its factorization.

2890263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51311 (or 51304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2890263240 is about 53761.1685140864. The cubic root of 2890263240 is about 1424.4453760373.

The spelling of 2890263240 in words is "two billion, eight hundred ninety million, two hundred sixty-three thousand, two hundred forty".