2642305536 has 400 divisors, whose sum is σ = 8838106200. Its totient is φ = 784982016.

The previous prime is 2642305499. The next prime is 2642305543. The reversal of 2642305536 is 6355032462.

2642305536 is a `hidden beast` number, since 2 + 642 + 3 + 0 + 5 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116640000 + 2525665536 = 10800^2 + 50256^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2642305536.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91113970 + ... + 91113998.

Almost surely, 2^2642305536 is an apocalyptic number.

2642305536 is a gapful number since it is divisible by the number (26) 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 2642305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419053100).

2642305536 is an abundant number, since it is smaller than the sum of its proper divisors (6195800664).

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

2642305536 is an frugal number, since it uses more digits than its factorization.

2642305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2642305536 is about 51403.3611352410. The cubic root of 2642305536 is about 1382.4868579684.

Adding to 2642305536 its reverse (6355032462), we get a palindrome (8997337998).

The spelling of 2642305536 in words is "two billion, six hundred forty-two million, three hundred five thousand, five hundred thirty-six".