2051434440 has 192 divisors, whose sum is σ = 7293499200. Its totient is φ = 495936000.

The previous prime is 2051434433. The next prime is 2051434487. The reversal of 2051434440 is 444341502.

It is a happy number.

2051434440 is a `hidden beast` number, since 205 + 14 + 3 + 4 + 440 = 666.

It is a super-2 number, since 2×2051434440² = 8416766523236227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2775591 + ... + 2776329.

It is an arithmetic number, because the mean of its divisors is an integer number (37986975).

Almost surely, 2^2051434440 is an apocalyptic number.

2051434440 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 2051434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646749600).

2051434440 is an abundant number, since it is smaller than the sum of its proper divisors (5242064760).

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

2051434440 is a wasteful number, since it uses less digits than its factorization.

2051434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2051434440 is about 45292.7636604348. The cubic root of 2051434440 is about 1270.6303193063.

Adding to 2051434440 its reverse (444341502), we get a palindrome (2495775942).

The spelling of 2051434440 in words is "two billion, fifty-one million, four hundred thirty-four thousand, four hundred forty".