2354078039040 has 3520 divisors, whose sum is σ = 11318305152000. Its totient is φ = 463520268288.

The previous prime is 2354078039003. The next prime is 2354078039041. The reversal of 2354078039040 is 409308704532.

2354078039040 is a `hidden beast` number, since 2 + 3 + 540 + 78 + 0 + 39 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354078039041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35135493087 + ... + 35135493153.

It is an arithmetic number, because the mean of its divisors is an integer number (3215427600).

Almost surely, 2^{2354078039040} is an apocalyptic number.

2354078039040 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 2354078039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659152576000).

2354078039040 is an abundant number, since it is smaller than the sum of its proper divisors (8964227112960).

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

2354078039040 is a wasteful number, since it uses less digits than its factorization.

2354078039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

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

The spelling of 2354078039040 in words is "two trillion, three hundred fifty-four billion, seventy-eight million, thirty-nine thousand, forty".