2542622400 has 420 divisors, whose sum is σ = 9763822992. Its totient is φ = 647792640.

The previous prime is 2542622363. The next prime is 2542622417. The reversal of 2542622400 is 42262452.

It is a happy number.

2542622400 is a `hidden beast` number, since 254 + 2 + 6 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980374 + ... + 2981226.

Almost surely, 2^2542622400 is an apocalyptic number.

2542622400 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 2542622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881911496).

2542622400 is an abundant number, since it is smaller than the sum of its proper divisors (7221200592).

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

2542622400 is a wasteful number, since it uses less digits than its factorization.

2542622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2542622400 is about 50424.4226541068. The cubic root of 2542622400 is about 1364.8783854940.

Adding to 2542622400 its reverse (42262452), we get a palindrome (2584884852).

The spelling of 2542622400 in words is "two billion, five hundred forty-two million, six hundred twenty-two thousand, four hundred".