2780251136 has 88 divisors (see below), whose sum is σ = 6069420504. Its totient is φ = 1265172480.

The previous prime is 2780251081. The next prime is 2780251169. The reversal of 2780251136 is 6311520872.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 184960000 + 2595291136 = 13600^2 + 50944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2780251096 and 2780251105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970346 + ... + 973206.

Almost surely, 2^2780251136 is an apocalyptic number.

2780251136 is a gapful number since it is divisible by the number (26) 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 2780251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034710252).

2780251136 is an abundant number, since it is smaller than the sum of its proper divisors (3289169368).

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

2780251136 is a wasteful number, since it uses less digits than its factorization.

2780251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2780251136 is about 52728.0867849384. The cubic root of 2780251136 is about 1406.1382072882.

The spelling of 2780251136 in words is "two billion, seven hundred eighty million, two hundred fifty-one thousand, one hundred thirty-six".