2072562828000 has 192 divisors, whose sum is σ = 7759675542528. Its totient is φ = 473728627200.

The previous prime is 2072562827981. The next prime is 2072562828019. The reversal of 2072562828000 is 8282652702.

It is an interprime number because it is at equal distance from previous prime (2072562827981) and next prime (2072562828019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252684 + ... + 12420683.

It is an arithmetic number, because the mean of its divisors is an integer number (40414976784).

Almost surely, 2^{2072562828000} is an apocalyptic number.

2072562828000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072562828000 is an abundant number, since it is smaller than the sum of its proper divisors (5687112714528).

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

2072562828000 is a wasteful number, since it uses less digits than its factorization.

2072562828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24673402 (or 24673384 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 2072562828000 in words is "two trillion, seventy-two billion, five hundred sixty-two million, eight hundred twenty-eight thousand".