2146974720 has 352 divisors, whose sum is σ = 7626237696. Its totient is φ = 511180800.

The previous prime is 2146974671. The next prime is 2146974737. The reversal of 2146974720 is 274796412.

It is a tau number, because it is divible by the number of its divisors (352).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16389055 + ... + 16389185.

It is an arithmetic number, because the mean of its divisors is an integer number (21665448).

Almost surely, 2^2146974720 is an apocalyptic number.

2146974720 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 2146974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813118848).

2146974720 is an abundant number, since it is smaller than the sum of its proper divisors (5479262976).

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

2146974720 is a wasteful number, since it uses less digits than its factorization.

2146974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2146974720 is about 46335.4585603725. The cubic root of 2146974720 is about 1290.0572295985.

The spelling of 2146974720 in words is "two billion, one hundred forty-six million, nine hundred seventy-four thousand, seven hundred twenty".