2777350980 has 96 divisors (see below), whose sum is σ = 8083522944. Its totient is φ = 711880704.

The previous prime is 2777350921. The next prime is 2777350991. The reversal of 2777350980 is 890537772.

It is a super-2 number, since 2×2777350980² = 15427356932213920800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176724 + ... + 191796.

It is an arithmetic number, because the mean of its divisors is an integer number (84203364).

Almost surely, 2^2777350980 is an apocalyptic number.

2777350980 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 2777350980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041761472).

2777350980 is an abundant number, since it is smaller than the sum of its proper divisors (5306171964).

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

2777350980 is a wasteful number, since it uses less digits than its factorization.

2777350980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 2777350980 is about 52700.5785546990. The cubic root of 2777350980 is about 1405.6491101112.

The spelling of 2777350980 in words is "two billion, seven hundred seventy-seven million, three hundred fifty thousand, nine hundred eighty".