2906133440 has 112 divisors (see below), whose sum is σ = 8164153344. Its totient is φ = 964224000.

The previous prime is 2906133437. The next prime is 2906133443. The reversal of 2906133440 is 443316092.

It is an interprime number because it is at equal distance from previous prime (2906133437) and next prime (2906133443).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2906133440² = 16891223142172467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2906133397 and 2906133406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906133443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48515 + ... + 90365.

Almost surely, 2^2906133440 is an apocalyptic number.

2906133440 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 2906133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082076672).

2906133440 is an abundant number, since it is smaller than the sum of its proper divisors (5258019904).

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

2906133440 is a wasteful number, since it uses less digits than its factorization.

2906133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41906 (or 41896 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2906133440 is about 53908.5655531660. The cubic root of 2906133440 is about 1427.0477897928.

The spelling of 2906133440 in words is "two billion, nine hundred six million, one hundred thirty-three thousand, four hundred forty".