2698152000 has 448 divisors, whose sum is σ = 9630216960. Its totient is φ = 663552000.

The previous prime is 2698151947. The next prime is 2698152001. The reversal of 2698152000 is 2518962.

It is not an unprimeable number, because it can be changed into a prime (2698152001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27815952 + ... + 27816048.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^2698152000 is an apocalyptic number.

2698152000 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 2698152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815108480).

2698152000 is an abundant number, since it is smaller than the sum of its proper divisors (6932064960).

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

2698152000 is a wasteful number, since it uses less digits than its factorization.

2698152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2698152000 is about 51943.7387949693. The cubic root of 2698152000 is about 1392.1588866066.

The spelling of 2698152000 in words is "two billion, six hundred ninety-eight million, one hundred fifty-two thousand".