2126492160 has 480 divisors, whose sum is σ = 7857622080. Its totient is φ = 487489536.

The previous prime is 2126492153. The next prime is 2126492167. The reversal of 2126492160 is 612946212.

It is an interprime number because it is at equal distance from previous prime (2126492153) and next prime (2126492167).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126492167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36042211 + ... + 36042269.

It is an arithmetic number, because the mean of its divisors is an integer number (16370046).

Almost surely, 2^2126492160 is an apocalyptic number.

2126492160 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 2126492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928811040).

2126492160 is an abundant number, since it is smaller than the sum of its proper divisors (5731129920).

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

2126492160 is a wasteful number, since it uses less digits than its factorization.

2126492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2126492160 is about 46113.9041938546. The cubic root of 2126492160 is about 1285.9416475518.

It can be divided in two parts, 21264921 and 60, that added together give a triangular number (21264981 = T₆₅₂₁).

The spelling of 2126492160 in words is "two billion, one hundred twenty-six million, four hundred ninety-two thousand, one hundred sixty".