2047372416 has 256 divisors, whose sum is σ = 6462720000. Its totient is φ = 636539904.

The previous prime is 2047372403. The next prime is 2047372423. The reversal of 2047372416 is 6142737402.

2047372416 is a `hidden beast` number, since 204 + 7 + 37 + 2 + 416 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417685 + ... + 3418283.

It is an arithmetic number, because the mean of its divisors is an integer number (25245000).

Almost surely, 2^2047372416 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 2047372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360000).

2047372416 is an abundant number, since it is smaller than the sum of its proper divisors (4415347584).

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

2047372416 is a wasteful number, since it uses less digits than its factorization.

2047372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2047372416 is about 45247.8995755604. The cubic root of 2047372416 is about 1269.7911111996.

The spelling of 2047372416 in words is "two billion, forty-seven million, three hundred seventy-two thousand, four hundred sixteen".