2453646502560 has 384 divisors, whose sum is σ = 8819394877440. Its totient is φ = 567591833600.

The previous prime is 2453646502529. The next prime is 2453646502613. The reversal of 2453646502560 is 652056463542.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 50859250 + ... + 50907470.

It is an arithmetic number, because the mean of its divisors is an integer number (22967174160).

Almost surely, 2^{2453646502560} is an apocalyptic number.

2453646502560 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 2453646502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409697438720).

2453646502560 is an abundant number, since it is smaller than the sum of its proper divisors (6365748374880).

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

2453646502560 is a wasteful number, since it uses less digits than its factorization.

2453646502560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48692 (or 48684 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 2453646502560 in words is "two trillion, four hundred fifty-three billion, six hundred forty-six million, five hundred two thousand, five hundred sixty".