2465125000 has 224 divisors, whose sum is σ = 6546009960. Its totient is φ = 864000000.

The previous prime is 2465124997. The next prime is 2465125057. The reversal of 2465125000 is 5215642.

It can be written as a sum of positive squares in 28 ways, for example, as 2273191684 + 191933316 = 47678^2 + 13854^2 .

It is a sliding number, since 2465125000 = 512000000 + 1953125000 and 1/512000000 + 1/1953125000 = 0.000000002465125000.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60124980 + ... + 60125020.

Almost surely, 2^2465125000 is an apocalyptic number.

2465125000 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 2465125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273004980).

2465125000 is an abundant number, since it is smaller than the sum of its proper divisors (4080884960).

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

2465125000 is an equidigital number, since it uses as much as digits as its factorization.

2465125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2465125000 is about 49650.0251762273. The cubic root of 2465125000 is about 1350.8682115210.

It can be divided in two parts, 2 and 465125000, that multiplied together give a square (930250000 = 30500²).

The spelling of 2465125000 in words is "two billion, four hundred sixty-five million, one hundred twenty-five thousand".