2046676500 has 288 divisors, whose sum is σ = 7113899520. Its totient is φ = 491232000.

The previous prime is 2046676493. The next prime is 2046676517. The reversal of 2046676500 is 56766402.

2046676500 is a `hidden beast` number, since 20 + 4 + 66 + 76 + 500 = 666.

It is a super-3 number, since 3×2046676500³ (a number of 29 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8563381 + ... + 8563619.

It is an arithmetic number, because the mean of its divisors is an integer number (24701040).

Almost surely, 2^2046676500 is an apocalyptic number.

2046676500 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 2046676500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556949760).

2046676500 is an abundant number, since it is smaller than the sum of its proper divisors (5067223020).

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

2046676500 is a wasteful number, since it uses less digits than its factorization.

2046676500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2046676500 is about 45240.2088854594. The cubic root of 2046676500 is about 1269.6472246446.

The spelling of 2046676500 in words is "two billion, forty-six million, six hundred seventy-six thousand, five hundred".