2069558400 has 768 divisors, whose sum is σ = 8839434240. Its totient is φ = 413614080.

The previous prime is 2069558389. The next prime is 2069558443. The reversal of 2069558400 is 48559602.

2069558400 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 (39).

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, 20092749 + ... + 20092851.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^2069558400 is an apocalyptic number.

2069558400 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 2069558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419717120).

2069558400 is an abundant number, since it is smaller than the sum of its proper divisors (6769875840).

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

2069558400 is a wasteful number, since it uses less digits than its factorization.

2069558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2069558400 is about 45492.3993651687. The cubic root of 2069558400 is about 1274.3612640725.

The spelling of 2069558400 in words is "two billion, sixty-nine million, five hundred fifty-eight thousand, four hundred".