2693910465840 has 320 divisors, whose sum is σ = 10153915107840. Its totient is φ = 582303006720.

The previous prime is 2693910465809. The next prime is 2693910465847. The reversal of 2693910465840 is 485640193962.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2693910465847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726879 + ... + 2432318.

It is an arithmetic number, because the mean of its divisors is an integer number (31730984712).

Almost surely, 2^{2693910465840} is an apocalyptic number.

2693910465840 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 2693910465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076957553920).

2693910465840 is an abundant number, since it is smaller than the sum of its proper divisors (7460004642000).

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

2693910465840 is a wasteful number, since it uses less digits than its factorization.

2693910465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159260 (or 3159254 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 2693910465840 in words is "two trillion, six hundred ninety-three billion, nine hundred ten million, four hundred sixty-five thousand, eight hundred forty".