2980412064 has 384 divisors, whose sum is σ = 10342080000. Its totient is φ = 834527232.

The previous prime is 2980412051. The next prime is 2980412077. The reversal of 2980412064 is 4602140892.

2980412064 = 372³ + 373³ + ... + 419³.

It is an interprime number because it is at equal distance from previous prime (2980412051) and next prime (2980412077).

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, 26375272 + ... + 26375384.

It is an arithmetic number, because the mean of its divisors is an integer number (26932500).

Almost surely, 2^2980412064 is an apocalyptic number.

2980412064 is a gapful number since it is divisible by the number (24) 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 2980412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040000).

2980412064 is an abundant number, since it is smaller than the sum of its proper divisors (7361667936).

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

2980412064 is a wasteful number, since it uses less digits than its factorization.

2980412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2980412064 is about 54593.1503395801. The cubic root of 2980412064 is about 1439.1037478463.

The spelling of 2980412064 in words is "two billion, nine hundred eighty million, four hundred twelve thousand, sixty-four".