2562020496 has 640 divisors, whose sum is σ = 9742233600. Its totient is φ = 627056640.

The previous prime is 2562020459. The next prime is 2562020561. The reversal of 2562020496 is 6940202652.

2562020496 is a `hidden beast` number, since 2 + 5 + 620 + 20 + 4 + 9 + 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 2562020496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42000306 + ... + 42000366.

It is an arithmetic number, because the mean of its divisors is an integer number (15222240).

Almost surely, 2^2562020496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562020496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871116800).

2562020496 is an abundant number, since it is smaller than the sum of its proper divisors (7180213104).

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

2562020496 is a wasteful number, since it uses less digits than its factorization.

2562020496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2562020496 is about 50616.4054037819. The cubic root of 2562020496 is about 1368.3405584871.

The spelling of 2562020496 in words is "two billion, five hundred sixty-two million, twenty thousand, four hundred ninety-six".