2280032012700 has 576 divisors, whose sum is σ = 7961990400000. Its totient is φ = 556408258560.

The previous prime is 2280032012639. The next prime is 2280032012723. The reversal of 2280032012700 is 72102300822.

It is a happy number.

It is a super-2 number, since 2×2280032012700² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3136219737 + ... + 3136220463.

It is an arithmetic number, because the mean of its divisors is an integer number (13822900000).

Almost surely, 2^{2280032012700} is an apocalyptic number.

2280032012700 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 2280032012700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980995200000).

2280032012700 is an abundant number, since it is smaller than the sum of its proper divisors (5681958387300).

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

2280032012700 is a wasteful number, since it uses less digits than its factorization.

2280032012700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 2280032012700 in words is "two trillion, two hundred eighty billion, thirty-two million, twelve thousand, seven hundred".