2670414098688 has 324 divisors, whose sum is σ = 9024937569648. Its totient is φ = 757147023360.

The previous prime is 2670414098657. The next prime is 2670414098701. The reversal of 2670414098688 is 8868904140762.

2670414098688 is a `hidden beast` number, since 2 + 6 + 70 + 4 + 1 + 409 + 86 + 88 = 666.

It is a super-2 number, since 2×2670414098688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14699095 + ... + 14879657.

Almost surely, 2^{2670414098688} is an apocalyptic number.

2670414098688 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 2670414098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512468784824).

2670414098688 is an abundant number, since it is smaller than the sum of its proper divisors (6354523470960).

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

2670414098688 is a wasteful number, since it uses less digits than its factorization.

2670414098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180730 (or 180706 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2670414098688 in words is "two trillion, six hundred seventy billion, four hundred fourteen million, ninety-eight thousand, six hundred eighty-eight".