2151988146 has 432 divisors, whose sum is σ = 6829909632. Its totient is φ = 476720640.

The previous prime is 2151988109. The next prime is 2151988183. The reversal of 2151988146 is 6418891512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2151988109) and next prime (2151988183).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 93564691 + ... + 93564713.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^2151988146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151988146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

2151988146 is an abundant number, since it is smaller than the sum of its proper divisors (4677921486).

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

2151988146 is a wasteful number, since it uses less digits than its factorization.

2151988146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 2151988146 is about 46389.5262532395. The cubic root of 2151988146 is about 1291.0605916350.

The spelling of 2151988146 in words is "two billion, one hundred fifty-one million, nine hundred eighty-eight thousand, one hundred forty-six".