1825140000 has 240 divisors, whose sum is σ = 6305856480. Its totient is φ = 460800000.

The previous prime is 1825139989. The next prime is 1825140001. The reversal of 1825140000 is 415281.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1825140000² = 6662272039200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1825140001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139200 + ... + 1140800.

It is an arithmetic number, because the mean of its divisors is an integer number (26274402).

Almost surely, 2^1825140000 is an apocalyptic number.

1825140000 is a gapful number since it is divisible by the number (10) 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 1825140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152928240).

1825140000 is an abundant number, since it is smaller than the sum of its proper divisors (4480716480).

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

1825140000 is a wasteful number, since it uses less digits than its factorization.

1825140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1825140000 is about 42721.6572712249. The cubic root of 1825140000 is about 1222.0774422935.

Adding to 1825140000 its reverse (415281), we get a palindrome (1825555281).

The spelling of 1825140000 in words is "one billion, eight hundred twenty-five million, one hundred forty thousand".