2646452340 has 144 divisors (see below), whose sum is σ = 9230038272. Its totient is φ = 601233408.

The previous prime is 2646452317. The next prime is 2646452357. The reversal of 2646452340 is 432546462.

2646452340 is a `hidden beast` number, since 2 + 6 + 4 + 645 + 2 + 3 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2646452295 and 2646452304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204132 + ... + 216708.

It is an arithmetic number, because the mean of its divisors is an integer number (64097488).

Almost surely, 2^2646452340 is an apocalyptic number.

2646452340 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 2646452340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615019136).

2646452340 is an abundant number, since it is smaller than the sum of its proper divisors (6583585932).

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

2646452340 is a wasteful number, since it uses less digits than its factorization.

2646452340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2646452340 is about 51443.6812446388. The cubic root of 2646452340 is about 1383.2096996328.

The spelling of 2646452340 in words is "two billion, six hundred forty-six million, four hundred fifty-two thousand, three hundred forty".