2527428100400 has 480 divisors, whose sum is σ = 7745053570560. Its totient is φ = 771598172160.

The previous prime is 2527428100363. The next prime is 2527428100411. The reversal of 2527428100400 is 40018247252.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 95 ways as a sum of consecutive naturals, for example, 901685399 + ... + 901688201.

It is an arithmetic number, because the mean of its divisors is an integer number (16135528272).

Almost surely, 2^{2527428100400} is an apocalyptic number.

2527428100400 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 2527428100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872526785280).

2527428100400 is an abundant number, since it is smaller than the sum of its proper divisors (5217625470160).

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

2527428100400 is a wasteful number, since it uses less digits than its factorization.

2527428100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 2527428100400 in words is "two trillion, five hundred twenty-seven billion, four hundred twenty-eight million, one hundred thousand, four hundred".