2905372080 has 720 divisors, whose sum is σ = 12101412960. Its totient is φ = 617103360.

The previous prime is 2905372079. The next prime is 2905372109. The reversal of 2905372080 is 802735092.

It is a happy number.

2905372080 is a `hidden beast` number, since 29 + 0 + 537 + 20 + 80 = 666.

2905372080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93721665 + ... + 93721695.

It is an arithmetic number, because the mean of its divisors is an integer number (16807518).

Almost surely, 2^2905372080 is an apocalyptic number.

2905372080 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 2905372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050706480).

2905372080 is an abundant number, since it is smaller than the sum of its proper divisors (9196040880).

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

2905372080 is a wasteful number, since it uses less digits than its factorization.

2905372080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2905372080 is about 53901.5035040768. The cubic root of 2905372080 is about 1426.9231577547.

The spelling of 2905372080 in words is "two billion, nine hundred five million, three hundred seventy-two thousand, eighty".