2941418880 has 768 divisors, whose sum is σ = 12024576000. Its totient is φ = 676823040.

The previous prime is 2941418869. The next prime is 2941418891. The reversal of 2941418880 is 888141492.

2941418880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2941418869) and next prime (2941418891).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94884465 + ... + 94884495.

It is an arithmetic number, because the mean of its divisors is an integer number (15657000).

Almost surely, 2^2941418880 is an apocalyptic number.

2941418880 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 2941418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012288000).

2941418880 is an abundant number, since it is smaller than the sum of its proper divisors (9083157120).

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

2941418880 is a wasteful number, since it uses less digits than its factorization.

2941418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2941418880 is about 54234.8493129648. The cubic root of 2941418880 is about 1432.8001728351.

It can be divided in two parts, 2941 and 418880, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 2941418880 in words is "two billion, nine hundred forty-one million, four hundred eighteen thousand, eight hundred eighty".