2990553120 has 288 divisors, whose sum is σ = 10744559280. Its totient is φ = 757002240.

The previous prime is 2990553101. The next prime is 2990553149. The reversal of 2990553120 is 213550992.

It is a happy number.

2990553120 is a `hidden beast` number, since 2 + 9 + 90 + 553 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1307256336 + 1683296784 = 36156^2 + 41028^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72940300 + ... + 72940340.

Almost surely, 2^2990553120 is an apocalyptic number.

2990553120 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 2990553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372279640).

2990553120 is an abundant number, since it is smaller than the sum of its proper divisors (7754006160).

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

2990553120 is an equidigital number, since it uses as much as digits as its factorization.

2990553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2990553120 is about 54685.9499323181. The cubic root of 2990553120 is about 1440.7341164223.

The spelling of 2990553120 in words is "two billion, nine hundred ninety million, five hundred fifty-three thousand, one hundred twenty".