2426026570100 has 144 divisors (see below), whose sum is σ = 6371558444160. Its totient is φ = 782717337600.

The previous prime is 2426026570087. The next prime is 2426026570111. The reversal of 2426026570100 is 10756206242.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87224996 + ... + 87252804.

It is an arithmetic number, because the mean of its divisors is an integer number (44246933640).

Almost surely, 2^{2426026570100} is an apocalyptic number.

2426026570100 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 2426026570100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185779222080).

2426026570100 is an abundant number, since it is smaller than the sum of its proper divisors (3945531874060).

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

2426026570100 is a wasteful number, since it uses less digits than its factorization.

2426026570100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 2426026570100 in words is "two trillion, four hundred twenty-six billion, twenty-six million, five hundred seventy thousand, one hundred".