2935142496 has 576 divisors, whose sum is σ = 10743183360. Its totient is φ = 752716800.

The previous prime is 2935142489. The next prime is 2935142501. The reversal of 2935142496 is 6942415392.

2935142496 is a `hidden beast` number, since 2 + 93 + 51 + 424 + 96 = 666.

2935142496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2935142496² = 17230122943650220032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94682001 + ... + 94682031.

It is an arithmetic number, because the mean of its divisors is an integer number (18651360).

Almost surely, 2^2935142496 is an apocalyptic number.

2935142496 is a gapful number since it is divisible by the number (26) 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 2935142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371591680).

2935142496 is an abundant number, since it is smaller than the sum of its proper divisors (7808040864).

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

2935142496 is a wasteful number, since it uses less digits than its factorization.

2935142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2935142496 is about 54176.9553961830. The cubic root of 2935142496 is about 1431.7803466553.

The spelling of 2935142496 in words is "two billion, nine hundred thirty-five million, one hundred forty-two thousand, four hundred ninety-six".