2740362240 has 528 divisors, whose sum is σ = 11156379264. Its totient is φ = 567705600.

The previous prime is 2740362227. The next prime is 2740362259. The reversal of 2740362240 is 422630472.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2740362198 and 2740362207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278875 + ... + 8279205.

Almost surely, 2^2740362240 is an apocalyptic number.

2740362240 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 2740362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578189632).

2740362240 is an abundant number, since it is smaller than the sum of its proper divisors (8416017024).

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

2740362240 is a wasteful number, since it uses less digits than its factorization.

2740362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2740362240 is about 52348.4693185961. The cubic root of 2740362240 is about 1399.3810597401.

The spelling of 2740362240 in words is "two billion, seven hundred forty million, three hundred sixty-two thousand, two hundred forty".