2562066364000 has 864 divisors, whose sum is σ = 7763796462240. Its totient is φ = 822721536000.

The previous prime is 2562066363991. The next prime is 2562066364009. The reversal of 2562066364000 is 4636602652.

It is an interprime number because it is at equal distance from previous prime (2562066363991) and next prime (2562066364009).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562066364009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23505195946 + ... + 23505196054.

It is an arithmetic number, because the mean of its divisors is an integer number (8985875535).

Almost surely, 2^{2562066364000} is an apocalyptic number.

2562066364000 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 2562066364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881898231120).

2562066364000 is an abundant number, since it is smaller than the sum of its proper divisors (5201730098240).

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

2562066364000 is a wasteful number, since it uses less digits than its factorization.

2562066364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 2562066364000 in words is "two trillion, five hundred sixty-two billion, sixty-six million, three hundred sixty-four thousand".