20248290000 has 300 divisors, whose sum is σ = 71311950996. Its totient is φ = 5361408000.

The previous prime is 20248289947. The next prime is 20248290017. The reversal of 20248290000 is 9284202.

It can be written as a sum of positive squares in 10 ways, for example, as 14264958096 + 5983331904 = 119436^2 + 77352^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14129284 + ... + 14130716.

Almost surely, 2^20248290000 is an apocalyptic number.

20248290000 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 20248290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35655975498).

20248290000 is an abundant number, since it is smaller than the sum of its proper divisors (51063660996).

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

20248290000 is a wasteful number, since it uses less digits than its factorization.

20248290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20248290000 in words is "twenty billion, two hundred forty-eight million, two hundred ninety thousand".