2955004416 has 640 divisors, whose sum is σ = 11274278400. Its totient is φ = 752467968.

The previous prime is 2955004399. The next prime is 2955004427. The reversal of 2955004416 is 6144005592.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101896690 + ... + 101896718.

It is an arithmetic number, because the mean of its divisors is an integer number (17616060).

Almost surely, 2^2955004416 is an apocalyptic number.

2955004416 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 2955004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637139200).

2955004416 is an abundant number, since it is smaller than the sum of its proper divisors (8319273984).

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

2955004416 is an frugal number, since it uses more digits than its factorization.

2955004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2955004416 is about 54359.9523178599. The cubic root of 2955004416 is about 1435.0026775395.

The spelling of 2955004416 in words is "two billion, nine hundred fifty-five million, four thousand, four hundred sixteen".