2146535460 has 36 divisors (see below), whose sum is σ = 6511158108. Its totient is φ = 572409408.

The previous prime is 2146535441. The next prime is 2146535491. The reversal of 2146535460 is 645356412.

2146535460 is a `hidden beast` number, since 2 + 146 + 53 + 5 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 883159524 + 1263375936 = 29718^2 + 35544^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2146535460² = 9215228962074823200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5962419 + ... + 5962778.

It is an arithmetic number, because the mean of its divisors is an integer number (180865503).

Almost surely, 2^2146535460 is an apocalyptic number.

2146535460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146535460 is an abundant number, since it is smaller than the sum of its proper divisors (4364622648).

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

2146535460 is a wasteful number, since it uses less digits than its factorization.

2146535460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925212 (or 11925207 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2146535460 is about 46330.7183194908. The cubic root of 2146535460 is about 1289.9692439035.

The spelling of 2146535460 in words is "two billion, one hundred forty-six million, five hundred thirty-five thousand, four hundred sixty".