2078528400 has 360 divisors, whose sum is σ = 8109855936. Its totient is φ = 489139200.

The previous prime is 2078528371. The next prime is 2078528411. The reversal of 2078528400 is 48258702.

It is a happy number.

2078528400 is a `hidden beast` number, since 20 + 78 + 528 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1075435 + ... + 1077365.

Almost surely, 2^2078528400 is an apocalyptic number.

2078528400 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 2078528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054927968).

2078528400 is an abundant number, since it is smaller than the sum of its proper divisors (6031327536).

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

2078528400 is a wasteful number, since it uses less digits than its factorization.

2078528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2078528400 is about 45590.8806670808. The cubic root of 2078528400 is about 1276.1997472957.

The spelling of 2078528400 in words is "two billion, seventy-eight million, five hundred twenty-eight thousand, four hundred".