2045364984 has 192 divisors, whose sum is σ = 6115200000. Its totient is φ = 613806336.

The previous prime is 2045364973. The next prime is 2045365009. The reversal of 2045364984 is 4894635402.

2045364984 is a `hidden beast` number, since 20 + 4 + 536 + 4 + 98 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10278117 + ... + 10278315.

It is an arithmetic number, because the mean of its divisors is an integer number (31850000).

Almost surely, 2^2045364984 is an apocalyptic number.

2045364984 is a gapful number since it is divisible by the number (24) 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 2045364984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057600000).

2045364984 is an abundant number, since it is smaller than the sum of its proper divisors (4069835016).

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

2045364984 is a wasteful number, since it uses less digits than its factorization.

2045364984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2045364984 is about 45225.7115366912. The cubic root of 2045364984 is about 1269.3759688702.

The spelling of 2045364984 in words is "two billion, forty-five million, three hundred sixty-four thousand, nine hundred eighty-four".