2253248677008 has 640 divisors, whose sum is σ = 8342894592000. Its totient is φ = 566739763200.

The previous prime is 2253248677003. The next prime is 2253248677013. The reversal of 2253248677008 is 8007768423522.

2253248677008 is a `hidden beast` number, since 2 + 2 + 532 + 48 + 67 + 7 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2253248677003) and next prime (2253248677013).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2253248677003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77148808 + ... + 77178008.

It is an arithmetic number, because the mean of its divisors is an integer number (13035772800).

Almost surely, 2^{2253248677008} is an apocalyptic number.

2253248677008 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 2253248677008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171447296000).

2253248677008 is an abundant number, since it is smaller than the sum of its proper divisors (6089645914992).

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

2253248677008 is a wasteful number, since it uses less digits than its factorization.

2253248677008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29340 (or 29328 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2253248677008 in words is "two trillion, two hundred fifty-three billion, two hundred forty-eight million, six hundred seventy-seven thousand, eight".