2602100626944 has 1280 divisors, whose sum is σ = 9255907584000. Its totient is φ = 630639820800.

The previous prime is 2602100626913. The next prime is 2602100626973. The reversal of 2602100626944 is 4496260012062.

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

It is a junction number, because it is equal to n+sod(n) for n = 2602100626896 and 2602100626905.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 23872482762 + ... + 23872482870.

It is an arithmetic number, because the mean of its divisors is an integer number (7231177800).

Almost surely, 2^{2602100626944} is an apocalyptic number.

2602100626944 is a gapful number since it is divisible by the number (24) 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 2602100626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627953792000).

2602100626944 is an abundant number, since it is smaller than the sum of its proper divisors (6653806957056).

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

2602100626944 is a wasteful number, since it uses less digits than its factorization.

2602100626944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2602100626944 in words is "two trillion, six hundred two billion, one hundred million, six hundred twenty-six thousand, nine hundred forty-four".