2047978028160 has 1152 divisors, whose sum is σ = 7724605150080. Its totient is φ = 518366822400.

The previous prime is 2047978028113. The next prime is 2047978028167. The reversal of 2047978028160 is 618208797402.

It is a happy number.

2047978028160 is a `hidden beast` number, since 2 + 0 + 479 + 7 + 8 + 0 + 2 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2047978028160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2047978028097 and 2047978028106.

It is not an unprimeable number, because it can be changed into a prime (2047978028167) 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, 10611285024 + ... + 10611285216.

It is an arithmetic number, because the mean of its divisors is an integer number (6705386415).

Almost surely, 2^{2047978028160} is an apocalyptic number.

2047978028160 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 2047978028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862302575040).

2047978028160 is an abundant number, since it is smaller than the sum of its proper divisors (5676627121920).

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

2047978028160 is an equidigital number, since it uses as much as digits as its factorization.

2047978028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2047978028160 in words is "two trillion, forty-seven billion, nine hundred seventy-eight million, twenty-eight thousand, one hundred sixty".