2723240006400 has 108 divisors (see below), whose sum is σ = 8987259426152. Its totient is φ = 726197329920.

The previous prime is 2723240006369. The next prime is 2723240006437. The reversal of 2723240006400 is 46000423272.

It is a super-2 number, since 2×2723240006400² (a number of 26 digits) contains 22 as substring.

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

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, 70898509 + ... + 70936908.

Almost surely, 2^{2723240006400} is an apocalyptic number.

2723240006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2723240006400 is an abundant number, since it is smaller than the sum of its proper divisors (6264019419752).

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

2723240006400 is a wasteful number, since it uses less digits than its factorization.

2723240006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141835446 (or 141835427 counting only the distinct ones).

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

Adding to 2723240006400 its reverse (46000423272), we get a palindrome (2769240429672).

The spelling of 2723240006400 in words is "two trillion, seven hundred twenty-three billion, two hundred forty million, six thousand, four hundred".