2145788064 has 384 divisors, whose sum is σ = 7550484480. Its totient is φ = 580027392.

The previous prime is 2145788053. The next prime is 2145788069. The reversal of 2145788064 is 4608875412.

2145788064 is a `hidden beast` number, since 2 + 14 + 578 + 8 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2145788069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9622257 + ... + 9622479.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^2145788064 is an apocalyptic number.

2145788064 is a gapful number since it is divisible by the number (24) 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 2145788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775242240).

2145788064 is an abundant number, since it is smaller than the sum of its proper divisors (5404696416).

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

2145788064 is a wasteful number, since it uses less digits than its factorization.

2145788064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2145788064 is about 46322.6517375679. The cubic root of 2145788064 is about 1289.8195096316.

The spelling of 2145788064 in words is "two billion, one hundred forty-five million, seven hundred eighty-eight thousand, sixty-four".