2709540864 has 156 divisors (see below), whose sum is σ = 8082485632. Its totient is φ = 873676800.

The previous prime is 2709540851. The next prime is 2709540871. The reversal of 2709540864 is 4680459072.

It is a happy number.

2709540864 is a `hidden beast` number, since 27 + 0 + 9 + 540 + 86 + 4 = 666.

It is a super-2 number, since 2×2709540864² = 14683223387371732992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141599 + ... + 1143969.

Almost surely, 2^2709540864 is an apocalyptic number.

2709540864 is a gapful number since it is divisible by the number (24) 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 2709540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041242816).

2709540864 is an abundant number, since it is smaller than the sum of its proper divisors (5372944768).

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

2709540864 is a wasteful number, since it uses less digits than its factorization.

2709540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2709540864 is about 52053.2502731578. The cubic root of 2709540864 is about 1394.1148985145.

The spelling of 2709540864 in words is "two billion, seven hundred nine million, five hundred forty thousand, eight hundred sixty-four".