2126348280 has 512 divisors, whose sum is σ = 8596684800. Its totient is φ = 457228800.

The previous prime is 2126348269. The next prime is 2126348293. The reversal of 2126348280 is 828436212.

2126348280 is a `hidden beast` number, since 2 + 12 + 634 + 8 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10077375 + ... + 10077585.

It is an arithmetic number, because the mean of its divisors is an integer number (16790400).

Almost surely, 2^2126348280 is an apocalyptic number.

2126348280 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 2126348280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298342400).

2126348280 is an abundant number, since it is smaller than the sum of its proper divisors (6470336520).

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

2126348280 is a wasteful number, since it uses less digits than its factorization.

2126348280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2126348280 is about 46112.3441173836. The cubic root of 2126348280 is about 1285.9126443165.

The spelling of 2126348280 in words is "two billion, one hundred twenty-six million, three hundred forty-eight thousand, two hundred eighty".