2047620016640 has 320 divisors, whose sum is σ = 5643964656000. Its totient is φ = 704615546880.

The previous prime is 2047620016619. The next prime is 2047620016691. The reversal of 2047620016640 is 466100267402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2047620016594 and 2047620016603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689665076 + ... + 689668044.

It is an arithmetic number, because the mean of its divisors is an integer number (17637389550).

Almost surely, 2^{2047620016640} is an apocalyptic number.

2047620016640 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 2047620016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821982328000).

2047620016640 is an abundant number, since it is smaller than the sum of its proper divisors (3596344639360).

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

2047620016640 is a wasteful number, since it uses less digits than its factorization.

2047620016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 2047620016640 in words is "two trillion, forty-seven billion, six hundred twenty million, sixteen thousand, six hundred forty".