2432748684240 has 320 divisors, whose sum is σ = 9624669696000. Its totient is φ = 553261902336.

The previous prime is 2432748684239. The next prime is 2432748684253. The reversal of 2432748684240 is 424868472342.

2432748684240 is a `hidden beast` number, since 2 + 43 + 2 + 7 + 486 + 84 + 2 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2604619 + ... + 3413141.

It is an arithmetic number, because the mean of its divisors is an integer number (30077092800).

Almost surely, 2^{2432748684240} is an apocalyptic number.

2432748684240 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 2432748684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812334848000).

2432748684240 is an abundant number, since it is smaller than the sum of its proper divisors (7191921011760).

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

2432748684240 is a wasteful number, since it uses less digits than its factorization.

2432748684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808751 (or 808739 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 2432748684240 in words is "two trillion, four hundred thirty-two billion, seven hundred forty-eight million, six hundred eighty-four thousand, two hundred forty".