2126705460 has 48 divisors (see below), whose sum is σ = 6496120512. Its totient is φ = 515564800.

The previous prime is 2126705443. The next prime is 2126705467. The reversal of 2126705460 is 645076212.

It is a super-2 number, since 2×2126705460² = 9045752227187623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126705467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610481 + ... + 1611800.

It is an arithmetic number, because the mean of its divisors is an integer number (135335844).

Almost surely, 2^2126705460 is an apocalyptic number.

2126705460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126705460 is an abundant number, since it is smaller than the sum of its proper divisors (4369415052).

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

2126705460 is a wasteful number, since it uses less digits than its factorization.

2126705460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222304 (or 3222302 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2126705460 is about 46116.2168873380. The cubic root of 2126705460 is about 1285.9846420175.

It can be divided in two parts, 212670 and 5460, that added together give a triangular number (218130 = T₆₆₀).

The spelling of 2126705460 in words is "two billion, one hundred twenty-six million, seven hundred five thousand, four hundred sixty".