2145185280 has 480 divisors, whose sum is σ = 8702014464. Its totient is φ = 478199808.

The previous prime is 2145185279. The next prime is 2145185281. The reversal of 2145185280 is 825815412.

2145185280 is a `hidden beast` number, since 2 + 14 + 518 + 52 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2145185279) and next prime (2145185281).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145185281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7580019 + ... + 7580301.

Almost surely, 2^2145185280 is an apocalyptic number.

2145185280 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 2145185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351007232).

2145185280 is an abundant number, since it is smaller than the sum of its proper divisors (6556829184).

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

2145185280 is a wasteful number, since it uses less digits than its factorization.

2145185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2145185280 is about 46316.1449172964. The cubic root of 2145185280 is about 1289.6987217821.

The spelling of 2145185280 in words is "two billion, one hundred forty-five million, one hundred eighty-five thousand, two hundred eighty".