2077861248000 has 880 divisors, whose sum is σ = 7820259299424. Its totient is φ = 548624793600.

The previous prime is 2077861247933. The next prime is 2077861248011. The reversal of 2077861248000 is 8421687702.

2077861248000 is a `hidden beast` number, since 20 + 7 + 7 + 8 + 612 + 4 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1109375064 + ... + 1109376936.

Almost surely, 2^{2077861248000} is an apocalyptic number.

2077861248000 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 2077861248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910129649712).

2077861248000 is an abundant number, since it is smaller than the sum of its proper divisors (5742398051424).

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

2077861248000 is a wasteful number, since it uses less digits than its factorization.

2077861248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2077861248000 in words is "two trillion, seventy-seven billion, eight hundred sixty-one million, two hundred forty-eight thousand".