2050701649920 has 2592 divisors, whose sum is σ = 9492073063200. Its totient is φ = 423054213120.

The previous prime is 2050701649901. The next prime is 2050701649939. The reversal of 2050701649920 is 299461070502.

2050701649920 is a `hidden beast` number, since 2 + 0 + 507 + 0 + 16 + 49 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2050701649901) and next prime (2050701649939).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2050701649920² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 14753249211 + ... + 14753249349.

It is an arithmetic number, because the mean of its divisors is an integer number (3662065225).

Almost surely, 2^{2050701649920} is an apocalyptic number.

2050701649920 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 2050701649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746036531600).

2050701649920 is an abundant number, since it is smaller than the sum of its proper divisors (7441371413280).

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

2050701649920 is a wasteful number, since it uses less digits than its factorization.

2050701649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2050701649920 in words is "two trillion, fifty billion, seven hundred one million, six hundred forty-nine thousand, nine hundred twenty".