2670195939840 has 1920 divisors, whose sum is σ = 11520387648000. Its totient is φ = 581979340800.

The previous prime is 2670195939833. The next prime is 2670195939883. The reversal of 2670195939840 is 489395910762.

2670195939840 is a `hidden beast` number, since 26 + 7 + 0 + 19 + 593 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4457755861 + ... + 4457756459.

It is an arithmetic number, because the mean of its divisors is an integer number (6000201900).

It is a 1-persistent number, because it is pandigital, but 2⋅2670195939840 = 5340391879680 is not.

Almost surely, 2^{2670195939840} is an apocalyptic number.

2670195939840 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 2670195939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760193824000).

2670195939840 is an abundant number, since it is smaller than the sum of its proper divisors (8850191708160).

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

2670195939840 is a wasteful number, since it uses less digits than its factorization.

2670195939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 2670195939840 in words is "two trillion, six hundred seventy billion, one hundred ninety-five million, nine hundred thirty-nine thousand, eight hundred forty".