2790736416 has 288 divisors, whose sum is σ = 9336075840. Its totient is φ = 812934144.

The previous prime is 2790736409. The next prime is 2790736423. The reversal of 2790736416 is 6146370972.

2790736416 is a `hidden beast` number, since 279 + 0 + 7 + 364 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2790736409) and next prime (2790736423).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 1919946 + ... + 1921398.

It is an arithmetic number, because the mean of its divisors is an integer number (32416930).

Almost surely, 2^2790736416 is an apocalyptic number.

2790736416 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 2790736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668037920).

2790736416 is an abundant number, since it is smaller than the sum of its proper divisors (6545339424).

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

2790736416 is a wasteful number, since it uses less digits than its factorization.

2790736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2790736416 is about 52827.4210614147. The cubic root of 2790736416 is about 1407.9036661450.

The spelling of 2790736416 in words is "two billion, seven hundred ninety million, seven hundred thirty-six thousand, four hundred sixteen".