2259453879648 has 384 divisors, whose sum is σ = 7983664819200. Its totient is φ = 606889304064.

The previous prime is 2259453879643. The next prime is 2259453879653. The reversal of 2259453879648 is 8469783549522.

2259453879648 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 453 + 87 + 96 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2259453879643) and next prime (2259453879653).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259453879643) 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, 93241998 + ... + 93266226.

It is an arithmetic number, because the mean of its divisors is an integer number (20790793800).

Almost surely, 2^{2259453879648} is an apocalyptic number.

2259453879648 is a gapful number since it is divisible by the number (28) 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 2259453879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991832409600).

2259453879648 is an abundant number, since it is smaller than the sum of its proper divisors (5724210939552).

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

2259453879648 is a wasteful number, since it uses less digits than its factorization.

2259453879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25179 (or 25165 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 2259453879648 in words is "two trillion, two hundred fifty-nine billion, four hundred fifty-three million, eight hundred seventy-nine thousand, six hundred forty-eight".