2898252000 has 864 divisors, whose sum is σ = 12584242944. Its totient is φ = 628992000.

The previous prime is 2898251977. The next prime is 2898252023. The reversal of 2898252000 is 2528982.

It is an interprime number because it is at equal distance from previous prime (2898251977) and next prime (2898252023).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54683974 + ... + 54684026.

It is an arithmetic number, because the mean of its divisors is an integer number (14565096).

Almost surely, 2^2898252000 is an apocalyptic number.

2898252000 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 2898252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292121472).

2898252000 is an abundant number, since it is smaller than the sum of its proper divisors (9685990944).

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

2898252000 is a wasteful number, since it uses less digits than its factorization.

2898252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

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

The square root of 2898252000 is about 53835.4158523922. The cubic root of 2898252000 is about 1425.7565696222.

The spelling of 2898252000 in words is "two billion, eight hundred ninety-eight million, two hundred fifty-two thousand".