2261619100608 has 56 divisors (see below), whose sum is σ = 6838705379712. Its totient is φ = 646176885504.

The previous prime is 2261619100561. The next prime is 2261619100613. The reversal of 2261619100608 is 8060019161622.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2261619100608² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2261619100608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841374810 + ... + 841377497.

Almost surely, 2^{2261619100608} is an apocalyptic number.

2261619100608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2261619100608 is an abundant number, since it is smaller than the sum of its proper divisors (4577086279104).

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

2261619100608 is a wasteful number, since it uses less digits than its factorization.

2261619100608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682752329 (or 1682752319 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 2261619100608 in words is "two trillion, two hundred sixty-one billion, six hundred nineteen million, one hundred thousand, six hundred eight".