2500000400 has 60 divisors (see below), whose sum is σ = 6068265252. Its totient is φ = 989675520.

The previous prime is 2500000397. The next prime is 2500000427. The reversal of 2500000400 is 40000052.

It can be written as a sum of positive squares in 6 ways, for example, as 91546624 + 2408453776 = 9568^2 + 49076^2 .

It is a sliding number, since 2500000400 = 400 + 2500000000 and 1/400 + 1/2500000000 = 0.002500000400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6584 + ... + 71016.

Almost surely, 2^2500000400 is an apocalyptic number.

2500000400 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 2500000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034132626).

2500000400 is an abundant number, since it is smaller than the sum of its proper divisors (3568264852).

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

2500000400 is a wasteful number, since it uses less digits than its factorization.

2500000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64548 (or 64537 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2500000400 is about 50000.0039999998. The cubic root of 2500000400 is about 1357.2088806819.

Adding to 2500000400 its reverse (40000052), we get a palindrome (2540000452).

It can be divided in two parts, 2500000 and 400, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 2500000400 in words is "two billion, five hundred million, four hundred", and thus it is an aban number.