2061921600 has 378 divisors, whose sum is σ = 7623409950. Its totient is φ = 528537600.

The previous prime is 2061921523. The next prime is 2061921637. The reversal of 2061921600 is 61291602.

2061921600 is a `hidden beast` number, since 20 + 6 + 19 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 2059707456 = 1488^2 + 45384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13838326 + ... + 13838474.

Almost surely, 2^2061921600 is an apocalyptic number.

2061921600 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 2061921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811704975).

2061921600 is an abundant number, since it is smaller than the sum of its proper divisors (5561488350).

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

2061921600 is a wasteful number, since it uses less digits than its factorization.

2061921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2061921600 is about 45408.3868905294. The cubic root of 2061921600 is about 1272.7918411275.

The spelling of 2061921600 in words is "two billion, sixty-one million, nine hundred twenty-one thousand, six hundred".