2061984600 has 240 divisors, whose sum is σ = 7713256320. Its totient is φ = 507513600.

The previous prime is 2061984583. The next prime is 2061984641. The reversal of 2061984600 is 64891602.

2061984600 is a `hidden beast` number, since 2 + 0 + 6 + 198 + 460 + 0 = 666.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205705 + ... + 215495.

It is an arithmetic number, because the mean of its divisors is an integer number (32138568).

Almost surely, 2^2061984600 is an apocalyptic number.

2061984600 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 2061984600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856628160).

2061984600 is an abundant number, since it is smaller than the sum of its proper divisors (5651271720).

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

2061984600 is a wasteful number, since it uses less digits than its factorization.

2061984600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2061984600 is about 45409.0805896794. The cubic root of 2061984600 is about 1272.8048039658.

The spelling of 2061984600 in words is "two billion, sixty-one million, nine hundred eighty-four thousand, six hundred".