2146120704 has 352 divisors, whose sum is σ = 7831658240. Its totient is φ = 565346304.

The previous prime is 2146120703. The next prime is 2146120723. The reversal of 2146120704 is 4070216412.

It is a super-2 number, since 2×2146120704² = 9211668152274911232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146120703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515542 + ... + 2516394.

Almost surely, 2^2146120704 is an apocalyptic number.

2146120704 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 2146120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915829120).

2146120704 is an abundant number, since it is smaller than the sum of its proper divisors (5685537536).

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

2146120704 is a wasteful number, since it uses less digits than its factorization.

2146120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2146120704 is about 46326.2420664573. The cubic root of 2146120704 is about 1289.8861554482.

The spelling of 2146120704 in words is "two billion, one hundred forty-six million, one hundred twenty thousand, seven hundred four".