2493782580402 has 96 divisors (see below), whose sum is σ = 5710100235840. Its totient is φ = 784397520000.

The previous prime is 2493782580391. The next prime is 2493782580407. The reversal of 2493782580402 is 2040852873942.

2493782580402 is a `hidden beast` number, since 2 + 4 + 93 + 78 + 2 + 5 + 80 + 402 = 666.

It is not an unprimeable number, because it can be changed into a prime (2493782580407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90011152 + ... + 90038852.

It is an arithmetic number, because the mean of its divisors is an integer number (59480210790).

Almost surely, 2^{2493782580402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493782580402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855050117920).

2493782580402 is an abundant number, since it is smaller than the sum of its proper divisors (3216317655438).

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

2493782580402 is a wasteful number, since it uses less digits than its factorization.

2493782580402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28760 (or 28757 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2493782580402 in words is "two trillion, four hundred ninety-three billion, seven hundred eighty-two million, five hundred eighty thousand, four hundred two".