2250030576480 has 288 divisors, whose sum is σ = 7484841280224. Its totient is φ = 568080801792.

The previous prime is 2250030576463. The next prime is 2250030576503. The reversal of 2250030576480 is 846750300522.

It is a super-2 number, since 2×2250030576480² (a number of 26 digits) contains 22 as substring.

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, 398021334 + ... + 398026986.

It is an arithmetic number, because the mean of its divisors is an integer number (25989032223).

Almost surely, 2^{2250030576480} is an apocalyptic number.

2250030576480 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 2250030576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742420640112).

2250030576480 is an abundant number, since it is smaller than the sum of its proper divisors (5234810703744).

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

2250030576480 is a wasteful number, since it uses less digits than its factorization.

2250030576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2250030576480 in words is "two trillion, two hundred fifty billion, thirty million, five hundred seventy-six thousand, four hundred eighty".