2782652880 has 160 divisors (see below), whose sum is σ = 9880510464. Its totient is φ = 634618368.

The previous prime is 2782652879. The next prime is 2782652891. The reversal of 2782652880 is 882562872.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877057 + ... + 880223.

Almost surely, 2^2782652880 is an apocalyptic number.

2782652880 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 2782652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940255232).

2782652880 is an abundant number, since it is smaller than the sum of its proper divisors (7097857584).

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

2782652880 is a wasteful number, since it uses less digits than its factorization.

2782652880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2782652880 is about 52750.8566755081. The cubic root of 2782652880 is about 1406.5429923039.

The spelling of 2782652880 in words is "two billion, seven hundred eighty-two million, six hundred fifty-two thousand, eight hundred eighty".