2601778244100 has 144 divisors (see below), whose sum is σ = 8633615413248. Its totient is φ = 592590648960.

The previous prime is 2601778244059. The next prime is 2601778244147. The reversal of 2601778244100 is 14428771062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594644 + ... + 2783243.

It is an arithmetic number, because the mean of its divisors is an integer number (59955662592).

Almost surely, 2^{2601778244100} is an apocalyptic number.

2601778244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2601778244100 is an abundant number, since it is smaller than the sum of its proper divisors (6031837169148).

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

2601778244100 is a wasteful number, since it uses less digits than its factorization.

2601778244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378194 (or 4378187 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 2601778244100 in words is "two trillion, six hundred one billion, seven hundred seventy-eight million, two hundred forty-four thousand, one hundred".