2502258000 has 320 divisors, whose sum is σ = 9091989504. Its totient is φ = 586560000.

The previous prime is 2502257981. The next prime is 2502258047. The reversal of 2502258000 is 8522052.

It is a super-2 number, since 2×2502258000² = 12522590197128000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045389 + ... + 2046611.

Almost surely, 2^2502258000 is an apocalyptic number.

2502258000 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 2502258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545994752).

2502258000 is an abundant number, since it is smaller than the sum of its proper divisors (6589731504).

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

2502258000 is a wasteful number, since it uses less digits than its factorization.

2502258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2502258000 is about 50022.5749037372. The cubic root of 2502258000 is about 1357.6172956721.

The spelling of 2502258000 in words is "two billion, five hundred two million, two hundred fifty-eight thousand".