2984240407932 has 864 divisors, whose sum is σ = 9798619783680. Its totient is φ = 789503500800.

The previous prime is 2984240407927. The next prime is 2984240407963. The reversal of 2984240407932 is 2397040424892.

2984240407932 is a `hidden beast` number, since 2 + 98 + 424 + 0 + 40 + 7 + 93 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9414007438 + ... + 9414007754.

It is an arithmetic number, because the mean of its divisors is an integer number (11340995120).

Almost surely, 2^{2984240407932} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984240407932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899309891840).

2984240407932 is an abundant number, since it is smaller than the sum of its proper divisors (6814379375748).

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

2984240407932 is a wasteful number, since it uses less digits than its factorization.

2984240407932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2984240407932 in words is "two trillion, nine hundred eighty-four billion, two hundred forty million, four hundred seven thousand, nine hundred thirty-two".