2900040416 has 96 divisors (see below), whose sum is σ = 7041323520. Its totient is φ = 1144935936.

The previous prime is 2900040401. The next prime is 2900040419. The reversal of 2900040416 is 6140400092.

2900040416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900040419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442575 + ... + 2443761.

It is an arithmetic number, because the mean of its divisors is an integer number (73347120).

Almost surely, 2^2900040416 is an apocalyptic number.

2900040416 is a gapful number since it is divisible by the number (26) 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 2900040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520661760).

2900040416 is an abundant number, since it is smaller than the sum of its proper divisors (4141283104).

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

2900040416 is a wasteful number, since it uses less digits than its factorization.

2900040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2900040416 is about 53852.0233231770. The cubic root of 2900040416 is about 1426.0497718197.

The spelling of 2900040416 in words is "two billion, nine hundred million, forty thousand, four hundred sixteen".