2528126400 has 336 divisors, whose sum is σ = 8617305600. Its totient is φ = 648560640.

The previous prime is 2528126387. The next prime is 2528126401. The reversal of 2528126400 is 46218252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528126401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22372744 + ... + 22372856.

Almost surely, 2^2528126400 is an apocalyptic number.

2528126400 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 2528126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308652800).

2528126400 is an abundant number, since it is smaller than the sum of its proper divisors (6089179200).

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

2528126400 is a wasteful number, since it uses less digits than its factorization.

2528126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2528126400 is about 50280.4773247033. The cubic root of 2528126400 is about 1362.2796254414.

It can be divided in two parts, 25281 and 26400, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 2528126400 in words is "two billion, five hundred twenty-eight million, one hundred twenty-six thousand, four hundred".