2049662207040 has 672 divisors, whose sum is σ = 8125490951424. Its totient is φ = 434883133440.

The previous prime is 2049662207029. The next prime is 2049662207077. The reversal of 2049662207040 is 407022669402.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2049662207040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2049662206983 and 2049662207001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58359085 + ... + 58394195.

It is an arithmetic number, because the mean of its divisors is an integer number (12091504392).

Almost surely, 2^{2049662207040} is an apocalyptic number.

2049662207040 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 2049662207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062745475712).

2049662207040 is an abundant number, since it is smaller than the sum of its proper divisors (6075828744384).

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

2049662207040 is a wasteful number, since it uses less digits than its factorization.

2049662207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35235 (or 35218 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 2049662207040 in words is "two trillion, forty-nine billion, six hundred sixty-two million, two hundred seven thousand, forty".