2061734976 has 252 divisors, whose sum is σ = 7280493948. Its totient is φ = 554287104.

The previous prime is 2061734971. The next prime is 2061734989. The reversal of 2061734976 is 6794371602.

2061734976 is a `hidden beast` number, since 20 + 617 + 3 + 4 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1366041600 + 695693376 = 36960^2 + 26376^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2061734976² = 8501502222523441152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2061734971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477660 + ... + 481956.

It is an arithmetic number, because the mean of its divisors is an integer number (28890849).

Almost surely, 2^2061734976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2061734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640246974).

2061734976 is an abundant number, since it is smaller than the sum of its proper divisors (5218758972).

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

2061734976 is a wasteful number, since it uses less digits than its factorization.

2061734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2061734976 is about 45406.3318932503. The cubic root of 2061734976 is about 1272.7534399468.

The spelling of 2061734976 in words is "two billion, sixty-one million, seven hundred thirty-four thousand, nine hundred seventy-six".