2025767100 has 144 divisors (see below), whose sum is σ = 6765566976. Its totient is φ = 458400000.

The previous prime is 2025767089. The next prime is 2025767111. The reversal of 2025767100 is 17675202.

It is an interprime number because it is at equal distance from previous prime (2025767089) and next prime (2025767111).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 207325 + ... + 216875.

It is an arithmetic number, because the mean of its divisors is an integer number (46983104).

Almost surely, 2^2025767100 is an apocalyptic number.

2025767100 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 2025767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382783488).

2025767100 is an abundant number, since it is smaller than the sum of its proper divisors (4739799876).

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

2025767100 is a wasteful number, since it uses less digits than its factorization.

2025767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 2025767100 is about 45008.5225262950. The cubic root of 2025767100 is about 1265.3087301791.

The spelling of 2025767100 in words is "two billion, twenty-five million, seven hundred sixty-seven thousand, one hundred".