2529206400 has 384 divisors, whose sum is σ = 9692415360. Its totient is φ = 567705600.

The previous prime is 2529206371. The next prime is 2529206423. The reversal of 2529206400 is 46029252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4098892 + ... + 4099508.

It is an arithmetic number, because the mean of its divisors is an integer number (25240665).

Almost surely, 2^2529206400 is an apocalyptic number.

2529206400 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 2529206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846207680).

2529206400 is an abundant number, since it is smaller than the sum of its proper divisors (7163208960).

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

2529206400 is a wasteful number, since it uses less digits than its factorization.

2529206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2529206400 is about 50291.2159328048. The cubic root of 2529206400 is about 1362.4735836418.

The spelling of 2529206400 in words is "two billion, five hundred twenty-nine million, two hundred six thousand, four hundred".