2049651414720 has 2688 divisors, whose sum is σ = 9430744135680. Its totient is φ = 409915883520.

The previous prime is 2049651414661. The next prime is 2049651414751. The reversal of 2049651414720 is 274141569402.

2049651414720 is a `hidden beast` number, since 2 + 0 + 4 + 96 + 51 + 41 + 472 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 28077416604 + ... + 28077416676.

It is an arithmetic number, because the mean of its divisors is an integer number (3508461360).

Almost surely, 2^{2049651414720} is an apocalyptic number.

2049651414720 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 2049651414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715372067840).

2049651414720 is an abundant number, since it is smaller than the sum of its proper divisors (7381092720960).

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

2049651414720 is a wasteful number, since it uses less digits than its factorization.

2049651414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2049651414720 in words is "two trillion, forty-nine billion, six hundred fifty-one million, four hundred fourteen thousand, seven hundred twenty".