10203002880 has 384 divisors, whose sum is σ = 39513277440. Its totient is φ = 2194145280.

The previous prime is 10203002867. The next prime is 10203002881. The reversal of 10203002880 is 8820030201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10203002880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203002881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3654285 + ... + 3657075.

It is an arithmetic number, because the mean of its divisors is an integer number (102899160).

Almost surely, 2^10203002880 is an apocalyptic number.

10203002880 is a gapful number since it is divisible by the number (10) 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 10203002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756638720).

10203002880 is an abundant number, since it is smaller than the sum of its proper divisors (29310274560).

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

10203002880 is a wasteful number, since it uses less digits than its factorization.

10203002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 10203002880 in words is "ten billion, two hundred three million, two thousand, eight hundred eighty".