2088050400 has 432 divisors, whose sum is σ = 7984738944. Its totient is φ = 531463680.

The previous prime is 2088050399. The next prime is 2088050413. The reversal of 2088050400 is 40508802.

2088050400 is a `hidden beast` number, since 208 + 8 + 0 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4470967 + ... + 4471433.

It is an arithmetic number, because the mean of its divisors is an integer number (18483192).

Almost surely, 2^2088050400 is an apocalyptic number.

2088050400 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 2088050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992369472).

2088050400 is an abundant number, since it is smaller than the sum of its proper divisors (5896688544).

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

2088050400 is a wasteful number, since it uses less digits than its factorization.

2088050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2088050400 is about 45695.1901188736. The cubic root of 2088050400 is about 1278.1455894444.

The spelling of 2088050400 in words is "two billion, eighty-eight million, fifty thousand, four hundred".