2046556512 has 576 divisors, whose sum is σ = 8101416960. Its totient is φ = 472780800.

The previous prime is 2046556493. The next prime is 2046556517. The reversal of 2046556512 is 2156556402.

2046556512 is a `hidden beast` number, since 20 + 4 + 65 + 565 + 12 = 666.

It is a super-2 number, since 2×2046556512² = 8376787113619212288, which contains 22 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 not an unprimeable number, because it can be changed into a prime (2046556517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8936814 + ... + 8937042.

It is an arithmetic number, because the mean of its divisors is an integer number (14064960).

Almost surely, 2^2046556512 is an apocalyptic number.

2046556512 is a gapful number since it is divisible by the number (22) 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 2046556512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050708480).

2046556512 is an abundant number, since it is smaller than the sum of its proper divisors (6054860448).

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

2046556512 is a wasteful number, since it uses less digits than its factorization.

2046556512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2046556512 is about 45238.8827448247. The cubic root of 2046556512 is about 1269.6224128080.

The spelling of 2046556512 in words is "two billion, forty-six million, five hundred fifty-six thousand, five hundred twelve".