2016629902560 has 768 divisors, whose sum is σ = 8166106368000. Its totient is φ = 406951133184.

The previous prime is 2016629902549. The next prime is 2016629902643. The reversal of 2016629902560 is 652099266102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95342866 + ... + 95364014.

It is an arithmetic number, because the mean of its divisors is an integer number (10632951000).

Almost surely, 2^{2016629902560} is an apocalyptic number.

2016629902560 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 2016629902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083053184000).

2016629902560 is an abundant number, since it is smaller than the sum of its proper divisors (6149476465440).

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

2016629902560 is a wasteful number, since it uses less digits than its factorization.

2016629902560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 2016629902560 in words is "two trillion, sixteen billion, six hundred twenty-nine million, nine hundred two thousand, five hundred sixty".