2890702080 has 540 divisors, whose sum is σ = 12053335140. Its totient is φ = 659570688.

The previous prime is 2890702079. The next prime is 2890702081. The reversal of 2890702080 is 802070982.

It is an interprime number because it is at equal distance from previous prime (2890702079) and next prime (2890702081).

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 2149991424 = 27216^2 + 46368^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890702081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080036 + ... + 5080604.

It is an arithmetic number, because the mean of its divisors is an integer number (22320991).

Almost surely, 2^2890702080 is an apocalyptic number.

2890702080 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 2890702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026667570).

2890702080 is an abundant number, since it is smaller than the sum of its proper divisors (9162633060).

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

2890702080 is an equidigital number, since it uses as much as digits as its factorization.

2890702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2890702080 is about 53765.2497436774. The cubic root of 2890702080 is about 1424.5174654311.

The spelling of 2890702080 in words is "two billion, eight hundred ninety million, seven hundred two thousand, eighty".