2120078937240 has 1536 divisors, whose sum is σ = 8745760512000. Its totient is φ = 456989921280.

The previous prime is 2120078937239. The next prime is 2120078937281. The reversal of 2120078937240 is 427398700212.

2120078937240 is a `hidden beast` number, since 2 + 1 + 200 + 78 + 9 + 372 + 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5905512181 + ... + 5905512539.

It is an arithmetic number, because the mean of its divisors is an integer number (5693854500).

Almost surely, 2^{2120078937240} is an apocalyptic number.

2120078937240 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 2120078937240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372880256000).

2120078937240 is an abundant number, since it is smaller than the sum of its proper divisors (6625681574760).

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

2120078937240 is a wasteful number, since it uses less digits than its factorization.

2120078937240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2120078937240 in words is "two trillion, one hundred twenty billion, seventy-eight million, nine hundred thirty-seven thousand, two hundred forty".