2977225680 has 240 divisors, whose sum is σ = 10904141376. Its totient is φ = 666132480.

The previous prime is 2977225663. The next prime is 2977225721. The reversal of 2977225680 is 865227792.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442824 + ... + 449496.

Almost surely, 2^2977225680 is an apocalyptic number.

2977225680 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 2977225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452070688).

2977225680 is an abundant number, since it is smaller than the sum of its proper divisors (7926915696).

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

2977225680 is a wasteful number, since it uses less digits than its factorization.

2977225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2977225680 is about 54563.9595337435. The cubic root of 2977225680 is about 1438.5907122688.

The spelling of 2977225680 in words is "two billion, nine hundred seventy-seven million, two hundred twenty-five thousand, six hundred eighty".