2738611980 has 288 divisors, whose sum is σ = 9397350144. Its totient is φ = 640991232.

The previous prime is 2738611973. The next prime is 2738612003. The reversal of 2738611980 is 891168372.

2738611980 is a `hidden beast` number, since 27 + 3 + 8 + 611 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 4068924 + ... + 4069596.

It is an arithmetic number, because the mean of its divisors is an integer number (32629688).

Almost surely, 2^2738611980 is an apocalyptic number.

2738611980 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 2738611980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698675072).

2738611980 is an abundant number, since it is smaller than the sum of its proper divisors (6658738164).

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

2738611980 is a wasteful number, since it uses less digits than its factorization.

2738611980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2738611980 is about 52331.7492541574. The cubic root of 2738611980 is about 1399.0830696554.

The spelling of 2738611980 in words is "two billion, seven hundred thirty-eight million, six hundred eleven thousand, nine hundred eighty".