2670553525248 has 1760 divisors, whose sum is σ = 9939183936000. Its totient is φ = 712837988352.

The previous prime is 2670553525217. The next prime is 2670553525259. The reversal of 2670553525248 is 8425253550762.

2670553525248 is a `hidden beast` number, since 2 + 6 + 70 + 5 + 5 + 3 + 525 + 2 + 48 = 666.

It is a super-2 number, since 2×2670553525248² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2670553525194 and 2670553525203.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45263619043 + ... + 45263619101.

It is an arithmetic number, because the mean of its divisors is an integer number (5647263600).

Almost surely, 2^{2670553525248} is an apocalyptic number.

2670553525248 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 2670553525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969591968000).

2670553525248 is an abundant number, since it is smaller than the sum of its proper divisors (7268630410752).

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

2670553525248 is an equidigital number, since it uses as much as digits as its factorization.

2670553525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 2670553525248 in words is "two trillion, six hundred seventy billion, five hundred fifty-three million, five hundred twenty-five thousand, two hundred forty-eight".