2874241410040 has 2304 divisors, whose sum is σ = 10233695001600. Its totient is φ = 715309056000.

The previous prime is 2874241410037. The next prime is 2874241410049. The reversal of 2874241410040 is 400141424782.

It is a super-2 number, since 2×2874241410040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874241410049) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47118711610 + ... + 47118711670.

It is an arithmetic number, because the mean of its divisors is an integer number (4441707900).

Almost surely, 2^{2874241410040} is an apocalyptic number.

2874241410040 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 2874241410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116847500800).

2874241410040 is an abundant number, since it is smaller than the sum of its proper divisors (7359453591560).

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

2874241410040 is a wasteful number, since it uses less digits than its factorization.

2874241410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 2874241410040 in words is "two trillion, eight hundred seventy-four billion, two hundred forty-one million, four hundred ten thousand, forty".