2541302400 has 384 divisors, whose sum is σ = 10305590400. Its totient is φ = 536002560.

The previous prime is 2541302399. The next prime is 2541302437. The reversal of 2541302400 is 42031452.

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 (21).

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, 872146 + ... + 875054.

It is an arithmetic number, because the mean of its divisors is an integer number (26837475).

Almost surely, 2^2541302400 is an apocalyptic number.

2541302400 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 2541302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152795200).

2541302400 is an abundant number, since it is smaller than the sum of its proper divisors (7764288000).

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

2541302400 is a wasteful number, since it uses less digits than its factorization.

2541302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2541302400 is about 50411.3320593693. The cubic root of 2541302400 is about 1364.6421528376.

Adding to 2541302400 its reverse (42031452), we get a palindrome (2583333852).

It can be divided in two parts, 2541 and 302400, that multiplied together give a square (768398400 = 27720²).

The spelling of 2541302400 in words is "two billion, five hundred forty-one million, three hundred two thousand, four hundred".