2298134648700 has 720 divisors, whose sum is σ = 8619246332928. Its totient is φ = 523480320000.

The previous prime is 2298134648681. The next prime is 2298134648767. The reversal of 2298134648700 is 78464318922.

2298134648700 is a `hidden beast` number, since 2 + 2 + 98 + 13 + 464 + 87 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1501066935 + ... + 1501068465.

Almost surely, 2^{2298134648700} is an apocalyptic number.

2298134648700 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 2298134648700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309623166464).

2298134648700 is an abundant number, since it is smaller than the sum of its proper divisors (6321111684228).

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

2298134648700 is a wasteful number, since it uses less digits than its factorization.

2298134648700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2298134648700 in words is "two trillion, two hundred ninety-eight billion, one hundred thirty-four million, six hundred forty-eight thousand, seven hundred".