2990381440 has 128 divisors (see below), whose sum is σ = 7384245120. Its totient is φ = 1157160960.

The previous prime is 2990381431. The next prime is 2990381473. The reversal of 2990381440 is 441830992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2990381393 and 2990381402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6938025 + ... + 6938455.

It is an arithmetic number, because the mean of its divisors is an integer number (57689415).

Almost surely, 2^2990381440 is an apocalyptic number.

2990381440 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 2990381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692122560).

2990381440 is an abundant number, since it is smaller than the sum of its proper divisors (4393863680).

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

2990381440 is a wasteful number, since it uses less digits than its factorization.

2990381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2990381440 is about 54684.3802195837. The cubic root of 2990381440 is about 1440.7065462754.

The spelling of 2990381440 in words is "two billion, nine hundred ninety million, three hundred eighty-one thousand, four hundred forty".