2938070880 has 480 divisors, whose sum is σ = 10959556608. Its totient is φ = 740275200.

The previous prime is 2938070867. The next prime is 2938070893. The reversal of 2938070880 is 880708392.

It is an interprime number because it is at equal distance from previous prime (2938070867) and next prime (2938070893).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 28524909 + ... + 28525011.

Almost surely, 2^2938070880 is an apocalyptic number.

2938070880 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 2938070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479778304).

2938070880 is an abundant number, since it is smaller than the sum of its proper divisors (8021485728).

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

2938070880 is a wasteful number, since it uses less digits than its factorization.

2938070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2938070880 is about 54203.9747620043. The cubic root of 2938070880 is about 1432.2563495585.

The spelling of 2938070880 in words is "two billion, nine hundred thirty-eight million, seventy thousand, eight hundred eighty".