2598100122240 has 768 divisors, whose sum is σ = 10794125422080. Its totient is φ = 562982289408.

The previous prime is 2598100122227. The next prime is 2598100122257. The reversal of 2598100122240 is 422210018952.

2598100122240 is a `hidden beast` number, since 2 + 598 + 1 + 0 + 0 + 1 + 2 + 22 + 40 = 666.

2598100122240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2598100122195 and 2598100122204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104779284 + ... + 104804076.

It is an arithmetic number, because the mean of its divisors is an integer number (14054850810).

Almost surely, 2^{2598100122240} is an apocalyptic number.

2598100122240 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 2598100122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397062711040).

2598100122240 is an abundant number, since it is smaller than the sum of its proper divisors (8196025299840).

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

2598100122240 is a wasteful number, since it uses less digits than its factorization.

2598100122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961 (or 24946 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2598100122240 in words is "two trillion, five hundred ninety-eight billion, one hundred million, one hundred twenty-two thousand, two hundred forty".