2978838720 has 448 divisors, whose sum is σ = 12350983680. Its totient is φ = 666316800.

The previous prime is 2978838697. The next prime is 2978838727. The reversal of 2978838720 is 278388792.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2978838727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234315 + ... + 1236725.

It is an arithmetic number, because the mean of its divisors is an integer number (27569160).

Almost surely, 2^2978838720 is an apocalyptic number.

2978838720 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 2978838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175491840).

2978838720 is an abundant number, since it is smaller than the sum of its proper divisors (9372144960).

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

2978838720 is a wasteful number, since it uses less digits than its factorization.

2978838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 2978838720 is about 54578.7387175629. The cubic root of 2978838720 is about 1438.8504714832.

It can be divided in two parts, 297883 and 8720, that added together give a palindrome (306603).

The spelling of 2978838720 in words is "two billion, nine hundred seventy-eight million, eight hundred thirty-eight thousand, seven hundred twenty".