2167253088 has 384 divisors, whose sum is σ = 8047226880. Its totient is φ = 491857920.

The previous prime is 2167253083. The next prime is 2167253093. The reversal of 2167253088 is 8803527612.

It is an interprime number because it is at equal distance from previous prime (2167253083) and next prime (2167253093).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167253083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825231 + ... + 1826417.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^2167253088 is an apocalyptic number.

2167253088 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 2167253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

2167253088 is an abundant number, since it is smaller than the sum of its proper divisors (5879973792).

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

2167253088 is a wasteful number, since it uses less digits than its factorization.

2167253088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2167253088 is about 46553.7655619822. The cubic root of 2167253088 is about 1294.1060775721.

It can be divided in two parts, 2167 and 253088, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 2167253088 in words is "two billion, one hundred sixty-seven million, two hundred fifty-three thousand, eighty-eight".