2126456340 has 96 divisors (see below), whose sum is σ = 6076027776. Its totient is φ = 555517440.

The previous prime is 2126456303. The next prime is 2126456359. The reversal of 2126456340 is 436546212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034754 + ... + 1036806.

It is an arithmetic number, because the mean of its divisors is an integer number (63291956).

Almost surely, 2^2126456340 is an apocalyptic number.

2126456340 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 2126456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038013888).

2126456340 is an abundant number, since it is smaller than the sum of its proper divisors (3949571436).

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

2126456340 is a wasteful number, since it uses less digits than its factorization.

2126456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2126456340 is about 46113.5158061061. The cubic root of 2126456340 is about 1285.9344271022.

The spelling of 2126456340 in words is "two billion, one hundred twenty-six million, four hundred fifty-six thousand, three hundred forty".