2546525400 has 96 divisors (see below), whose sum is σ = 7940183760. Its totient is φ = 675120640.

The previous prime is 2546525389. The next prime is 2546525413. The reversal of 2546525400 is 45256452.

2546525400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2546525400² = 12969583225690320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91534 + ... + 116066.

Almost surely, 2^2546525400 is an apocalyptic number.

2546525400 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 2546525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970091880).

2546525400 is an abundant number, since it is smaller than the sum of its proper divisors (5393658360).

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

2546525400 is a wasteful number, since it uses less digits than its factorization.

2546525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24725 (or 24716 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2546525400 is about 50463.1092977831. The cubic root of 2546525400 is about 1365.5764045810.

The spelling of 2546525400 in words is "two billion, five hundred forty-six million, five hundred twenty-five thousand, four hundred".