2077028352000 has 1024 divisors, whose sum is σ = 8780725324800. Its totient is φ = 474572390400.

The previous prime is 2077028351989. The next prime is 2077028352013. The reversal of 2077028352000 is 2538207702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 774142659 + ... + 774145341.

It is an arithmetic number, because the mean of its divisors is an integer number (8574927075).

Almost surely, 2^{2077028352000} is an apocalyptic number.

2077028352000 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 2077028352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390362662400).

2077028352000 is an abundant number, since it is smaller than the sum of its proper divisors (6703696972800).

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

2077028352000 is an frugal number, since it uses more digits than its factorization.

2077028352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2077028352000 in words is "two trillion, seventy-seven billion, twenty-eight million, three hundred fifty-two thousand".