2078546400 has 576 divisors, whose sum is σ = 8774438400. Its totient is φ = 465039360.

The previous prime is 2078546381. The next prime is 2078546411. The reversal of 2078546400 is 46458702.

2078546400 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 5 + 4 + 640 + 0 = 666.

2078546400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8920684 + ... + 8920916.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^2078546400 is an apocalyptic number.

2078546400 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 2078546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2078546400 is an abundant number, since it is smaller than the sum of its proper divisors (6695892000).

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

2078546400 is a wasteful number, since it uses less digits than its factorization.

2078546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2078546400 is about 45591.0780745531. The cubic root of 2078546400 is about 1276.2034312369.

The spelling of 2078546400 in words is "two billion, seventy-eight million, five hundred forty-six thousand, four hundred".