2721399690240 has 2464 divisors, whose sum is σ = 12943960890624. Its totient is φ = 531266273280.

The previous prime is 2721399690197. The next prime is 2721399690277. The reversal of 2721399690240 is 420969931272.

2721399690240 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 399 + 6 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4885816042 + ... + 4885816598.

Almost surely, 2^{2721399690240} is an apocalyptic number.

2721399690240 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 2721399690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471980445312).

2721399690240 is an abundant number, since it is smaller than the sum of its proper divisors (10222561200384).

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

2721399690240 is a wasteful number, since it uses less digits than its factorization.

2721399690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2721399690240 in words is "two trillion, seven hundred twenty-one billion, three hundred ninety-nine million, six hundred ninety thousand, two hundred forty".