2146515840 has 384 divisors, whose sum is σ = 8554291200. Its totient is φ = 485830656.

The previous prime is 2146515821. The next prime is 2146515851. The reversal of 2146515840 is 485156412.

It is a happy number.

2146515840 is a `hidden beast` number, since 2 + 1 + 465 + 158 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2146515795 and 2146515804.

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, 5604289 + ... + 5604671.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2146515840 is an apocalyptic number.

2146515840 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 2146515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2146515840 is an abundant number, since it is smaller than the sum of its proper divisors (6407775360).

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

2146515840 is a wasteful number, since it uses less digits than its factorization.

2146515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2146515840 is about 46330.5065804379. The cubic root of 2146515840 is about 1289.9653136518.

The spelling of 2146515840 in words is "two billion, one hundred forty-six million, five hundred fifteen thousand, eight hundred forty".