2452878050400 has 288 divisors, whose sum is σ = 9157413888000. Its totient is φ = 633000614400.

The previous prime is 2452878050333. The next prime is 2452878050407. The reversal of 2452878050400 is 40508782542.

2452878050400 is a `hidden beast` number, since 2 + 4 + 528 + 7 + 80 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2452878050400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452878050407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162000 + ... + 2501199.

It is an arithmetic number, because the mean of its divisors is an integer number (31796576000).

Almost surely, 2^{2452878050400} is an apocalyptic number.

2452878050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452878050400 is an abundant number, since it is smaller than the sum of its proper divisors (6704535837600).

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

2452878050400 is a wasteful number, since it uses less digits than its factorization.

2452878050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663259 (or 3663240 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 2452878050400 in words is "two trillion, four hundred fifty-two billion, eight hundred seventy-eight million, fifty thousand, four hundred".