2126076480 has 252 divisors, whose sum is σ = 8039372796. Its totient is φ = 515328000.

The previous prime is 2126076439. The next prime is 2126076487. The reversal of 2126076480 is 846706212.

2126076480 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 0 + 7 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1054430784 + 1071645696 = 32472^2 + 32736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2126076487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345430 + ... + 351530.

It is an arithmetic number, because the mean of its divisors is an integer number (31902273).

Almost surely, 2^2126076480 is an apocalyptic number.

2126076480 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 2126076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019686398).

2126076480 is an abundant number, since it is smaller than the sum of its proper divisors (5913296316).

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

2126076480 is a wasteful number, since it uses less digits than its factorization.

2126076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2126076480 is about 46109.3968730887. The cubic root of 2126076480 is about 1285.8578514818.

The spelling of 2126076480 in words is "two billion, one hundred twenty-six million, seventy-six thousand, four hundred eighty".