2453440000000 has 832 divisors, whose sum is σ = 7256695485312. Its totient is φ = 819200000000.

The previous prime is 2453439999953. The next prime is 2453440000003. The reversal of 2453440000000 is 443542.

It is a happy number.

It is a hoax number, since the sum of its digits (22) 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453440000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59839999980 + ... + 59840000020.

It is an arithmetic number, because the mean of its divisors is an integer number (8721989766).

Almost surely, 2^{2453440000000} is an apocalyptic number.

2453440000000 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 2453440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628347742656).

2453440000000 is an abundant number, since it is smaller than the sum of its proper divisors (4803255485312).

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

2453440000000 is an frugal number, since it uses more digits than its factorization.

2453440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 2453440000000 its reverse (443542), we get a palindrome (2453440443542).

The spelling of 2453440000000 in words is "two trillion, four hundred fifty-three billion, four hundred forty million", and thus it is an aban number.