2698253135424 has 1008 divisors, whose sum is σ = 10603962495360. Its totient is φ = 659484426240.

The previous prime is 2698253135393. The next prime is 2698253135453. The reversal of 2698253135424 is 4245313528962.

2698253135424 is a `hidden beast` number, since 2 + 6 + 9 + 82 + 5 + 3 + 13 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 549651882 + ... + 549656790.

Almost surely, 2^{2698253135424} is an apocalyptic number.

2698253135424 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 2698253135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301981247680).

2698253135424 is an abundant number, since it is smaller than the sum of its proper divisors (7905709359936).

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

2698253135424 is an equidigital number, since it uses as much as digits as its factorization.

2698253135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4949 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 2698253135424 in words is "two trillion, six hundred ninety-eight billion, two hundred fifty-three million, one hundred thirty-five thousand, four hundred twenty-four".