2990890240 has 288 divisors, whose sum is σ = 8328972960. Its totient is φ = 1019215872.

The previous prime is 2990890229. The next prime is 2990890277. The reversal of 2990890240 is 420980992.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 532317184 + 2458573056 = 23072^2 + 49584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27439306 + ... + 27439414.

It is an arithmetic number, because the mean of its divisors is an integer number (28920045).

Almost surely, 2^2990890240 is an apocalyptic number.

2990890240 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 2990890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164486480).

2990890240 is an abundant number, since it is smaller than the sum of its proper divisors (5338082720).

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

2990890240 is a wasteful number, since it uses less digits than its factorization.

2990890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 2990890240 is about 54689.0321728224. The cubic root of 2990890240 is about 1440.7882515624.

The spelling of 2990890240 in words is "two billion, nine hundred ninety million, eight hundred ninety thousand, two hundred forty".