2046542400 has 504 divisors, whose sum is σ = 8451006720. Its totient is φ = 460062720.

The previous prime is 2046542363. The next prime is 2046542413. The reversal of 2046542400 is 42456402.

2046542400 is a `hidden beast` number, since 2 + 0 + 4 + 654 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7963072 + ... + 7963328.

Almost surely, 2^2046542400 is an apocalyptic number.

2046542400 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 2046542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225503360).

2046542400 is an abundant number, since it is smaller than the sum of its proper divisors (6404464320).

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

2046542400 is a wasteful number, since it uses less digits than its factorization.

2046542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2046542400 is about 45238.7267725342. The cubic root of 2046542400 is about 1269.6194945805.

Adding to 2046542400 its reverse (42456402), we get a palindrome (2088998802).

It can be divided in two parts, 2046 and 542400, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 2046542400 in words is "two billion, forty-six million, five hundred forty-two thousand, four hundred".