2146893840 has 720 divisors, whose sum is σ = 9385399296. Its totient is φ = 435456000.

The previous prime is 2146893817. The next prime is 2146893851. The reversal of 2146893840 is 483986412.

It is a happy number.

2146893840 is a `hidden beast` number, since 21 + 468 + 93 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217765 + ... + 14217915.

Almost surely, 2^2146893840 is an apocalyptic number.

2146893840 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 2146893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692699648).

2146893840 is an abundant number, since it is smaller than the sum of its proper divisors (7238505456).

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

2146893840 is a wasteful number, since it uses less digits than its factorization.

2146893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2146893840 is about 46334.5857864296. The cubic root of 2146893840 is about 1290.0410298830.

The spelling of 2146893840 in words is "two billion, one hundred forty-six million, eight hundred ninety-three thousand, eight hundred forty".