2255148680400 has 1440 divisors, whose sum is σ = 10431994809600. Its totient is φ = 452390400000.

The previous prime is 2255148680377. The next prime is 2255148680471. The reversal of 2255148680400 is 40868415522.

2255148680400 is a `hidden beast` number, since 2 + 2 + 5 + 51 + 486 + 80 + 40 + 0 = 666.

It is a super-2 number, since 2×2255148680400² (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 zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 265276150 + ... + 265284650.

It is an arithmetic number, because the mean of its divisors is an integer number (7244440840).

Almost surely, 2^{2255148680400} is an apocalyptic number.

2255148680400 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 2255148680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215997404800).

2255148680400 is an abundant number, since it is smaller than the sum of its proper divisors (8176846129200).

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

2255148680400 is a wasteful number, since it uses less digits than its factorization.

2255148680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2255148680400 in words is "two trillion, two hundred fifty-five billion, one hundred forty-eight million, six hundred eighty thousand, four hundred".