2455649280000 has 1680 divisors, whose sum is σ = 10602960166656. Its totient is φ = 535265280000.

The previous prime is 2455649279971. The next prime is 2455649280011. The reversal of 2455649280000 is 829465542.

2455649280000 is a `hidden beast` number, since 2 + 4 + 5 + 564 + 9 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7418879835 + ... + 7418880165.

Almost surely, 2^{2455649280000} is an apocalyptic number.

2455649280000 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 2455649280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301480083328).

2455649280000 is an abundant number, since it is smaller than the sum of its proper divisors (8147310886656).

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

2455649280000 is an equidigital number, since it uses as much as digits as its factorization.

2455649280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2455649280000 in words is "two trillion, four hundred fifty-five billion, six hundred forty-nine million, two hundred eighty thousand".