2975729406 has 64 divisors (see below), whose sum is σ = 6579268416. Its totient is φ = 891417600.

The previous prime is 2975729399. The next prime is 2975729417. The reversal of 2975729406 is 6049275792.

It is a super-2 number, since 2×2975729406² = 17709930995466225672, 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 31 ways as a sum of consecutive naturals, for example, 2804116 + ... + 2805176.

It is an arithmetic number, because the mean of its divisors is an integer number (102801069).

Almost surely, 2^2975729406 is an apocalyptic number.

2975729406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2975729406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289634208).

2975729406 is an abundant number, since it is smaller than the sum of its proper divisors (3603539010).

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

2975729406 is a wasteful number, since it uses less digits than its factorization.

2975729406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 2975729406 is about 54550.2466172244. The cubic root of 2975729406 is about 1438.3496728122.

The spelling of 2975729406 in words is "two billion, nine hundred seventy-five million, seven hundred twenty-nine thousand, four hundred six".