2145951360 has 512 divisors, whose sum is σ = 8818675200. Its totient is φ = 483065856.

The previous prime is 2145951349. The next prime is 2145951373. The reversal of 2145951360 is 631595412.

2145951360 is a `hidden beast` number, since 2 + 1 + 4 + 595 + 1 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13668402 + ... + 13668558.

It is an arithmetic number, because the mean of its divisors is an integer number (17223975).

Almost surely, 2^2145951360 is an apocalyptic number.

2145951360 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 2145951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409337600).

2145951360 is an abundant number, since it is smaller than the sum of its proper divisors (6672723840).

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

2145951360 is a wasteful number, since it uses less digits than its factorization.

2145951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2145951360 is about 46324.4142974307. The cubic root of 2145951360 is about 1289.8522275294.

The spelling of 2145951360 in words is "two billion, one hundred forty-five million, nine hundred fifty-one thousand, three hundred sixty".