2981629440 has 240 divisors, whose sum is σ = 10710908208. Its totient is φ = 794935296.

The previous prime is 2981629433. The next prime is 2981629481. The reversal of 2981629440 is 449261892.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2981629440² = 17780228234949427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619684 + ... + 624476.

Almost surely, 2^2981629440 is an apocalyptic number.

2981629440 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 2981629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355454104).

2981629440 is an abundant number, since it is smaller than the sum of its proper divisors (7729278768).

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

2981629440 is an frugal number, since it uses more digits than its factorization.

2981629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2981629440 is about 54604.2987318764. The cubic root of 2981629440 is about 1439.2996594463.

The spelling of 2981629440 in words is "two billion, nine hundred eighty-one million, six hundred twenty-nine thousand, four hundred forty".