2167861248 has 312 divisors, whose sum is σ = 7414624256. Its totient is φ = 597196800.

The previous prime is 2167861219. The next prime is 2167861271. The reversal of 2167861248 is 8421687612.

2167861248 is a `hidden beast` number, since 21 + 6 + 7 + 8 + 612 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999353 + ... + 7999623.

Almost surely, 2^2167861248 is an apocalyptic number.

2167861248 is a gapful number since it is divisible by the number (28) 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 2167861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707312128).

2167861248 is an abundant number, since it is smaller than the sum of its proper divisors (5246763008).

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

2167861248 is a wasteful number, since it uses less digits than its factorization.

2167861248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2167861248 is about 46560.2969062698. The cubic root of 2167861248 is about 1294.2271140355.

The spelling of 2167861248 in words is "two billion, one hundred sixty-seven million, eight hundred sixty-one thousand, two hundred forty-eight".