2025225504 has 480 divisors, whose sum is σ = 6915585600. Its totient is φ = 577290240.

The previous prime is 2025225493. The next prime is 2025225539. The reversal of 2025225504 is 4055225202.

2025225504 = 484³ + 485³ + ... + 500³.

2025225504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34325827 + ... + 34325885.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^2025225504 is an apocalyptic number.

2025225504 is a gapful number since it is divisible by the number (24) 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 2025225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457792800).

2025225504 is an abundant number, since it is smaller than the sum of its proper divisors (4890360096).

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

2025225504 is a wasteful number, since it uses less digits than its factorization.

2025225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2025225504 is about 45002.5055302480. The cubic root of 2025225504 is about 1265.1959585403.

It can be divided in two parts, 2025 and 225504, that added together give a square (227529 = 477²).

The spelling of 2025225504 in words is "two billion, twenty-five million, two hundred twenty-five thousand, five hundred four".