2700434880 has 672 divisors, whose sum is σ = 11183477760. Its totient is φ = 589455360.

The previous prime is 2700434861. The next prime is 2700434911. The reversal of 2700434880 is 884340072.

It is a super-2 number, since 2×2700434880² = 14584697082241228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32535319 + ... + 32535401.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^2700434880 is an apocalyptic number.

2700434880 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 2700434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2700434880 is an abundant number, since it is smaller than the sum of its proper divisors (8483042880).

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

2700434880 is a wasteful number, since it uses less digits than its factorization.

2700434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2700434880 is about 51965.7086933297. The cubic root of 2700434880 is about 1392.5514065945.

It can be divided in two parts, 2700 and 434880, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 2700434880 in words is "two billion, seven hundred million, four hundred thirty-four thousand, eight hundred eighty".