2925010640 has 80 divisors (see below), whose sum is σ = 6993637200. Its totient is φ = 1137217536.

The previous prime is 2925010639. The next prime is 2925010681. The reversal of 2925010640 is 460105292.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 228493456 + 2696517184 = 15116^2 + 51928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2925010640³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458996 + ... + 465324.

It is an arithmetic number, because the mean of its divisors is an integer number (87420465).

Almost surely, 2^2925010640 is an apocalyptic number.

2925010640 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 2925010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496818600).

2925010640 is an abundant number, since it is smaller than the sum of its proper divisors (4068626560).

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

2925010640 is a wasteful number, since it uses less digits than its factorization.

2925010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2925010640 is about 54083.3674987052. The cubic root of 2925010640 is about 1430.1309870722.

The spelling of 2925010640 in words is "two billion, nine hundred twenty-five million, ten thousand, six hundred forty".