2820262536 has 320 divisors, whose sum is σ = 9814358400. Its totient is φ = 741177216.

The previous prime is 2820262519. The next prime is 2820262559. The reversal of 2820262536 is 6352620282.

2820262536 is a `hidden beast` number, since 2 + 8 + 20 + 2 + 625 + 3 + 6 = 666.

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 2820262536.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9965451 + ... + 9965733.

It is an arithmetic number, because the mean of its divisors is an integer number (30669870).

Almost surely, 2^2820262536 is an apocalyptic number.

2820262536 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 2820262536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907179200).

2820262536 is an abundant number, since it is smaller than the sum of its proper divisors (6994095864).

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

2820262536 is a wasteful number, since it uses less digits than its factorization.

2820262536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2820262536 is about 53106.1440513242. The cubic root of 2820262536 is about 1412.8514861422.

It can be divided in two parts, 2820 and 262536, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 2820262536 in words is "two billion, eight hundred twenty million, two hundred sixty-two thousand, five hundred thirty-six".