2349516407040 has 864 divisors, whose sum is σ = 9192099151872. Its totient is φ = 548923392000.

The previous prime is 2349516407023. The next prime is 2349516407057. The reversal of 2349516407040 is 407046159432.

2349516407040 is a `hidden beast` number, since 2 + 3 + 495 + 16 + 40 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2349516407023) and next prime (2349516407057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1064573617 + ... + 1064575823.

It is an arithmetic number, because the mean of its divisors is an integer number (10639003648).

Almost surely, 2^{2349516407040} is an apocalyptic number.

2349516407040 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 2349516407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596049575936).

2349516407040 is an abundant number, since it is smaller than the sum of its proper divisors (6842582744832).

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

2349516407040 is a wasteful number, since it uses less digits than its factorization.

2349516407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2349516407040 in words is "two trillion, three hundred forty-nine billion, five hundred sixteen million, four hundred seven thousand, forty".