2925307840 has 336 divisors, whose sum is σ = 8873044992. Its totient is φ = 910393344.

The previous prime is 2925307817. The next prime is 2925307843. The reversal of 2925307840 is 487035292.

2925307840 is digitally balanced in base 2, 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 2925307793 and 2925307802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925307843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23033857 + ... + 23033983.

It is an arithmetic number, because the mean of its divisors is an integer number (26407872).

Almost surely, 2^2925307840 is an apocalyptic number.

2925307840 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 2925307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436522496).

2925307840 is an abundant number, since it is smaller than the sum of its proper divisors (5947737152).

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

2925307840 is a wasteful number, since it uses less digits than its factorization.

2925307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2925307840 is about 54086.1150388896. The cubic root of 2925307840 is about 1430.1794222845.

The spelling of 2925307840 in words is "two billion, nine hundred twenty-five million, three hundred seven thousand, eight hundred forty".