2720977920 has 286 divisors, whose sum is σ = 9790731402. Its totient is φ = 725594112.

The previous prime is 2720977907. The next prime is 2720977933. The reversal of 2720977920 is 297790272.

It is an interprime number because it is at equal distance from previous prime (2720977907) and next prime (2720977933).

It can be written as a sum of positive squares in only one way, i.e., 2176782336 + 544195584 = 46656^2 + 23328^2 .

It is a super-2 number, since 2×2720977920² = 14807441682255052800, which contains 22 as substring.

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

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 544195582 + ... + 544195586.

Almost surely, 2^2720977920 is an apocalyptic number.

2720977920 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 2720977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895365701).

2720977920 is an abundant number, since it is smaller than the sum of its proper divisors (7069753482).

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

2720977920 is an frugal number, since it uses more digits than its factorization.

2720977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 2720977920 is about 52162.9937791151. The cubic root of 2720977920 is about 1396.0736791407.

Multiplying 2720977920 by its sum of digits (45), we get a square (122444006400 = 349920²).

2720977920 divided by its sum of digits (45) gives a 10-th power (60466176 = 6¹⁰).

The spelling of 2720977920 in words is "two billion, seven hundred twenty million, nine hundred seventy-seven thousand, nine hundred twenty".