2602126080 has 576 divisors, whose sum is σ = 10101611520. Its totient is φ = 631701504.

The previous prime is 2602126067. The next prime is 2602126117. The reversal of 2602126080 is 806212062.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25263309 + ... + 25263411.

It is an arithmetic number, because the mean of its divisors is an integer number (17537520).

Almost surely, 2^2602126080 is an apocalyptic number.

2602126080 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 2602126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050805760).

2602126080 is an abundant number, since it is smaller than the sum of its proper divisors (7499485440).

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

2602126080 is a wasteful number, since it uses less digits than its factorization.

2602126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2602126080 is about 51011.0388053409. The cubic root of 2602126080 is about 1375.4435734723.

The spelling of 2602126080 in words is "two billion, six hundred two million, one hundred twenty-six thousand, eighty".