2978657280 has 352 divisors, whose sum is σ = 10965369600. Its totient is φ = 765886464.

The previous prime is 2978657263. The next prime is 2978657299. The reversal of 2978657280 is 827568792.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008589 + ... + 4009331.

Almost surely, 2^2978657280 is an apocalyptic number.

2978657280 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 2978657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482684800).

2978657280 is an abundant number, since it is smaller than the sum of its proper divisors (7986712320).

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

2978657280 is a wasteful number, since it uses less digits than its factorization.

2978657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2978657280 is about 54577.0765065334. The cubic root of 2978657280 is about 1438.8212576010.

The spelling of 2978657280 in words is "two billion, nine hundred seventy-eight million, six hundred fifty-seven thousand, two hundred eighty".