2935094880 has 384 divisors, whose sum is σ = 10388238336. Its totient is φ = 693043200.

The previous prime is 2935094809. The next prime is 2935094881. The reversal of 2935094880 is 884905392.

It is a super-2 number, since 2×2935094880² = 17229563909204428800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2935094881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10371219 + ... + 10371501.

It is an arithmetic number, because the mean of its divisors is an integer number (27052704).

Almost surely, 2^2935094880 is an apocalyptic number.

2935094880 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 2935094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194119168).

2935094880 is an abundant number, since it is smaller than the sum of its proper divisors (7453143456).

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

2935094880 is a wasteful number, since it uses less digits than its factorization.

2935094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2935094880 is about 54176.5159455645. The cubic root of 2935094880 is about 1431.7726041554.

The spelling of 2935094880 in words is "two billion, nine hundred thirty-five million, ninety-four thousand, eight hundred eighty".