2741207040 has 576 divisors, whose sum is σ = 11225359080. Its totient is φ = 613416960.

The previous prime is 2741207033. The next prime is 2741207057. The reversal of 2741207040 is 407021472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2741207040² = 15028432072291123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2741206995 and 2741207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210862074 + ... + 210862086.

Almost surely, 2^2741207040 is an apocalyptic number.

2741207040 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 2741207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612679540).

2741207040 is an abundant number, since it is smaller than the sum of its proper divisors (8484152040).

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

2741207040 is a wasteful number, since it uses less digits than its factorization.

2741207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2741207040 is about 52356.5377006540. The cubic root of 2741207040 is about 1399.5248455554.

The spelling of 2741207040 in words is "two billion, seven hundred forty-one million, two hundred seven thousand, forty".